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Square Feet to Cubic Yards Calculator

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Square Feet to Cubic Yards Calculator

Convert square feet to cubic feet or vice-versa using the calculator below. Read on to learn how we calculated the result.

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Square Feet to Cubic Yards

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Cubic Yards to Square Feet

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How to Convert Square Feet to Cubic Yards

To calculate cubic yards given an area in square feet, you’ll also need the height or depth of the space/object in question. This is because these are different units of measure, so to convert one from the other, you need the height.

Square feet measure the area of a space, while cubic yards measure its volume.To convert, you can use a formula.

Square Feet to Cubic Yards Formula

The formula to convert is (for a rectangular or cubic volume only):

cu yds = sq ft × heightft ÷ 27

Thus, the volume of a space in cubic yards is equal to the area of the base in square feet times the height in feet, divided by 27. Essentially, you’re calculating the volume in cubic feet, then by dividing by 27, you’re converting the result to cubic yards.

If you don’t know the square footage, you can always use our square footage calculator, or if you know the length and width of the space, you can use this formula:

cu yds = (length ft × width ft × height ft) ÷ 27

Steps to Convert

Now that you know the conversion formula, follow these steps to convert square feet to cubic yards.

Step one: calculate the square footage of the space by multiplying the length and width.
Step two: calculate the cubic footage of the space by multiplying the square footage by the height or depth in feet.
Step three: calculate the cubic yardage of the space by dividing the cubic footage by 27. You can also use a cubic yards calculator for this

How to Convert Cubic Yards to Square Feet

You can convert cubic yards back to square feet by reversing the steps above. Of course, you’ll need to know the conversion formula.

Cubic Yards to Square Feet Formula

Use this formula to calculate square feet given cubic yards:

sq ft = (cu yds × 27) ÷ heightft

The area in square feet is equal to the volume in cubic yards times 27, divided by the height in feet.

You might also be interested in our square feet to cubic feet calculator.

Frequently Asked Questions

Cubic yards is a measurement of volume, while square yards is a measurement of area. That is, cubic yards are three-dimensional, while square yards are two-dimensional.

Square feet is a measure of area, whereas a cubic yard is a measure of volume, so we cannot provide a tangible answer to this question without knowing a little more about the area. A 3′ x 3′ area that is 3′ high will be equivalent to one cubic yard.

This depends on the desired depth of concrete over the specified area. For example, if we desire a depth of 6 inches of concrete, then a cubic yard of concrete would cover 54 square feet.

You can calculate this more specifically using our concrete calculator.

Recommended

Scale Conversion Calculator

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Scale Conversion Calculator

Scale a measurement to a larger or smaller measurement, which is useful for architecture, modeling, and other projects. You can also add the real size and scaled size to find the scale factor.

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How to Scale a Measurement

Making a measurement smaller or larger, known as scale conversion, requires a common scale factor, which you can use to multiply or divide all measurements.

To scale a measurement down to a smaller value, for instance, when making a blueprint, simply divide the real measurement by the scale factor. The scale factor is commonly expressed as 1:n or 1/n, where n is the factor.

For example, if the scale factor is 1:8 and the real measurement is 32, divide 32 ÷ 8 = 4 to convert.

To convert a smaller, scaled measurement up to the actual measurement, simply multiply the scaled measurement by the scale factor. For example, if the scale factor is 1:8 and the scaled length is 4, multiply 4 × 8 = 32 to convert it to the larger actual size.

A common tool used to scale a measurement from a real-world measurement is an architect’s scale rule. These are often used for scaling drawings and blueprints for buildings.

There are also engineering rules that are primarily used in civil engineering to scale measurements for roadways and land development. For example, when creating detail drawings, a scale of 1:10 is often used, and when creating working plans, scales of 1:20 or 1:40 are the preferred choices.

How to Find the Scale Factor

A scale factor is a ratio of two corresponding measurements or lengths. You can use the factor to increase or decrease the dimensions of a geometric shape, drawing, or model to different sizes. You can find the scale factor in a few easy steps.

Step One: Use the Scale Factor Formula

Since the scale factor is a ratio, the first step to finding it is to use the following formula:

scale factor =
scaled size
real size

So, the scale factor is a ratio of the scaled size to the real size.

Step Two: Simplify the Fraction

The next step is to reduce or simplify the fraction.

If you’re scaling down, that is, if the scaled size is smaller than the actual size, then the ratio should be shown with a numerator of 1. If you’re scaling up, that is, if the scaled size is larger than the actual size, then the ratio should be shown with a denominator of 1.

To find the final scale factor when you’re scaling up, reduce the ratio to a fraction with a denominator 1. To do this, divide both the numerator and the denominator by the denominator.

Note: by doing this, the numerator may become a decimal. This may or may not be desired, depending on your use case. If it’s not desired, then simply reduce the fraction like you would normally.

If you’re scaling down, then reduce the fraction so that the numerator is 1. You can do this by dividing both the numerator and the denominator by the numerator. Again, this may not result in whole numbers, so adjust accordingly.

Our fraction simplifier can help with this step if needed.

Step Three: Rewrite the Fraction as a Ratio

Finally, rewrite the fraction as a ratio by replacing the fraction bar with a colon. For instance, a scale factor of 1/10 can be rewritten as 1:10.

For example, let’s find the scale factor used on an architectural drawing where ½” on the drawing represents 12″ on the final building.

Begin by replacing the values in the formula above.

scale factor =
½”
12″

Since the drawing is scaled down, then the scale factor should be reduced to a fraction with a numerator of 1.

Multiply both the numerator and denominator by 2 to simplify.

scale factor =
½” × 2
12″ × 2
= 1/24

And finally, rewrite the fraction as a ratio.

Thus the scale factor for this drawing is 1:24.

scale factor =
1
24
= 1.24
How to Reduce the Scale Factor

If you already know the scale factor, but it is not in the form of 1:n or 1/n, then some additional work is needed to reduce or simplify it. If the ratio is 2:3, for example, then you’ll need to reduce it so that the numerator is 1.

Use our ratio calculator to reduce a ratio. You can also reduce a ratio by dividing both the numerator and the denominator by the numerator.
For example: reduce 2/3 by dividing both numbers by 2, which would be 1/1.5 or 1:1.5.

2 ÷ 2 = 1
3 ÷ 2 = 1.5
scale factor = 1:1.5

Architectural Scales

Architectural scales often relate a measurement, in feet, of a building to inches on a drawing. You can quickly find the scale factor for an architectural scale by inverting the fraction, then multiplying it by 12 (inches/foot).

For example, to find the scale factor on a drawing equaling 1′ on a building (1/16″ = 1′), start by inverting the fraction 1/16 so that it becomes 16/1. Then, multiply that by 12, which is 192. So, the scale factor for 1/16″ = 1′ is 1:192.

Scale factors for common architectural scales

Drawing Scale Scale Factor
1/16″ = 1′ 1:192
3/32″ = 1′ 1:128
1/8″ = 1′ 1:96
3/16″ = 1′ 1:64
1/4″ = 1′ 1:48
3/8″ = 1′ 1:32
1/2″ = 1′ 1:24
3/4″ = 1′ 1:16
1″ = 1′ 1:12
1 1/2″ = 1′ 1:8
3″ = 1′ 1:4
Engineering Scales

Engineering scales are represented in the same units for both the drawing and the actual measurement. For example, if you have a ratio of inches on a drawing to feet in reality, you can quickly find the scale factor for an engineering, or civic, scale by multiplying the feet portion by 12 (inches/foot).

As an example, to find the scale factor for 1″ = 30′, multiply 30′ by 12, which is 360. So, the scale factor for 1″ = 30′ is 1:360.

Scale factors for common engineering scales

Drawing Scale Scale Factor
1″ = 10′ 1:120
1″ = 20′ 1:240
1″ = 30′ 1:360
1″ = 40′ 1:480
1″ = 50′ 1:600
1″ = 60′ 1:720
1″ = 70′ 1:840
1″ = 80′ 1:960
1″ = 90′ 1:1080
1″ = 100′ 1:1200

Common Model Scales

This table lists some common scale factors you may come across when dealing with different types of models.

Scale Factor Model Type
1:4 steam trains, RC planes
1:8 steam trains, cars
1:10 figures
1:12 cars, motorcycles, dollhouses
1:16 steam trains, cars, motorcycles, military vehicles, figures
1:18 diecast cars
1:20 formula one cars
1:22.5 G-gauge trains
1:24 cars, trucks, aircraft, dollhouses
1:25 cars, trucks
1:32 1 gauge trains, cars, aircraft, figures
1:35 military vehicles
1:43 O-gauge trains, cars, trucks
1:48 O-gauge trains, dollhouses, Lego minifig
1:64 S-gauge trains, diecast cars, Hotwheels/Matchbox
1:72 aircraft, military vehicles, boats, cars
1:76 aircraft, military vehicles
1:87 HO-gauge trains, military vehicles
1:96 ships, spacecraft
1:100 aircraft, spacecraft
1:120 TT-gauge trains
1:144 ships, rockets, spacecraft
1:160 N-gauge trains, wargaming
1:200 aircraft, ships
1:220 Z-gauge trains
1:285 wargaming
1:350 ships
1:700 ships
1:720 ships

Common scale factors used for models and hobbies

Frequently Asked Questions

Yes, the scale factor can be represented as a fraction that describes the relative size between a model or drawing, and the actual object.

No, the scale factor is not always greater than one. It will be greater than one if the model is smaller than the actual object, but smaller than one if the model is larger than the actual object.

Typically we make models that are smaller than the object being modeled, hence why the scale factor is usually greater than one.

You can calculate scale from a drawing by measuring what length on the drawing corresponds to what length on the actual object. For example, if 1 inch on the drawing equals 3 inches on the actual object, then the scale is 1:3.

An example of a scale factor is the ratio used on a model airplane to describe how much bigger the actual airplane is than the model. If the actual airplane is ten times bigger than the model, then the scale factor is 1:10.

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Inch Fraction Calculator

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Inch Fraction Calculator

Convert inch fractions to decimal, decimal to inches, inches to metric measurements, metric measurements to inch fractions, and inches to feet using our inches to fraction calculator.

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How to Calculate Inch Fractions

Measurements in inches can be expressed as a decimal or a fraction. When inches are expressed as a fraction, there are some special rules to follow, which are important to know to convert a decimal to inches correctly.

While fractions of an inch can be represented as any standard fraction, the most common fractions of an inch use denominators that are powers of 2, from half inches to up to the 64ths of an inch. That means the fraction denominators are most commonly 2, 4, 8, 16, 32, and 64.

These specific fractions of an inch are referred to as inch fractions.

As a result, if we want to convert a decimal to one of these inch fractions, then know that converting a decimal to an inch fraction is not quite the same as converting a decimal to a regular fraction.

Instead, some minor rounding will occur since it will be necessary to find the nearest fraction with the denominator that is a power of 2, also known as a dyadic fraction or dyadic rational number.[1] Typical inch fractions will look something like 1/64, 1/32, 1/16, 1/8, 1/4, or 1/2.

When you’re working with larger measurements, you can use our feet and inches calculator to add or subtract feet and inch fractions.

How to Convert Inches to Fraction

To convert decimal inches to an inch fraction, you’ll need to round the decimal portion to the nearest dyadic fractional inch.

First, separate the whole number from the decimal; these are the whole inches. Then, take the remaining portion of the decimal to the right of the decimal point and multiply it by the denominator of the level of precision you need (e.g., 1/16, 1/32, or 1/64).

For instance, to round to the nearest 1/16, take the decimal portion and multiply it by 16. Then, round the result to get the numerator of the inch fraction.

Finally, place the numerator over the level of precision, 16 in this case. Then, put the fractional inches next to the whole inches for the final result.

For example, let’s convert 2.695 inches to a fraction with 1/16″ precision.

Remove the whole number 2 from the decimal to leave us with the decimal 0.695.

Then, multiply 0.695 by 16.

0.695 × 16 = 11.12

Round this to the nearest whole number; in this case, 11.12 can be rounded to 11. Put that in a fraction over 16, so 11/16 is the remaining inch fraction.

Put it all together by placing the whole inches (2) in front of the inch fraction.

2.695 in ≈ 2 11/16

Thus, using this method, you can see that 2.695 decimal inches are approximately equal to 2 11/16 as an inch fraction. Note that we use an “approximately equal” sign instead of an equals sign because the two numbers are not exactly equal.

Decimal to Inches Chart

Use this decimal to inches chart to easily find the correct fraction for your decimal measurement or to convert inches to fraction. Find decimal equivalents in 1⁄64” increments, including 1⁄2“, 1⁄4“, 1⁄8“, 1⁄16“, and 1⁄32” measurements.

The chart also shows hints on the markings sizes found on a tape measure or ruler.

How to Convert Inch Fractions to Decimal

Converting an inch fraction to decimal inches is as easy as dividing the fraction. Divide the top number (numerator) by the bottom number (denominator) to find the value in inches as a decimal.

You can also use a fraction to decimal calculator or the chart below.

Inches to Decimal Chart

The inch fraction to decimal and metric chart below shows equivalent length measurements in fraction, decimal, and millimeters up to one inch in 1⁄64” increments. You can use this to convert inches to decimal or millimeters.

Fraction
(inches)		 Decimal
(inches)		 Metric
(millimeters)
1/64″ 0.015625″ 0.396875 mm
1/32″ 0.03125″ 0.79375 mm
3/64″ 0.046875″ 1.190625 mm
1/16″ 0.0625″ 1.5875 mm
5/64″ 0.078125″ 1.984375 mm
3/32″ 0.09375″ 2.38125 mm
7/64″ 0.109375″ 2.778125 mm
1/8″ 0.125″ 3.175 mm
9/64″ 0.140625″ 3.571875 mm
5/32″ 0.15625″ 3.96875 mm
11/64″ 0.171875″ 4.365625 mm
3/16″ 0.1875″ 4.7625 mm
13/64″ 0.203125″ 5.159375 mm
7/32″ 0.21875″ 5.55625 mm
15/64″ 0.234375″ 5.953125 mm
1/4″ 0.25″ 6.35 mm
17/64″ 0.265625″ 6.746875 mm
9/32″ 0.28125″ 7.14375 mm
19/64″ 0.296875 7.540625 mm
5/16″ 0.3125″ 7.9375 mm
21/64″ 0.328125″ 8.334375 mm
11/32″ 0.34375″ 8.73125 mm
23/64″ 0.359375″ 9.128125 mm
3/8″ 0.375″ 9.525 mm
25/64″ 0.390625″ 9.921875 mm
13/32″ 0.40625″ 10.31875 mm
27/64″ 0.421875″ 10.715625 mm
7/16″ 0.4375″ 11.1125 mm
29/64″ 0.453125″ 11.509375 mm
15/32″ 0.46875″ 11.90625 mm
31/64″ 0.484375″ 12.303125 mm
1/2″ 0.5″ 12.7 mm
33/64″ 0.515625″ 13.096875 mm
17/32″ 0.53125″ 13.49375 mm
35/64″ 0.546875″ 13.890625 mm
9/16″ 0.5625″ 14.2875 mm
37/64″ 0.578125″ 14.684375 mm
19/32″ 0.59375″ 15.08125 mm
39/64″ 0.609375″ 15.478125 mm
5/8″ 0.625″ 15.875 mm
41/64″ 0.640625″ 16.271875 mm
21/32″ 0.65625″ 16.66875 mm
43/64″ 0.671875″ 17.065625 mm
11/16″ 0.6875″ 17.4625 mm
45/64″ 0.703125″ 17.859375 mm
23/32″ 0.71875″ 18.25625 mm
47/64″ 0.734375″ 18.653125 mm
3/4″ 0.75″ 19.05 mm
49/64″ 0.765625″ 19.446875 mm
25/32″ 0.78125″ 19.84375 mm
51/64″ 0.796875″ 20.240625 mm
13/16″ 0.8125″ 20.6375 mm
53/64″ 0.828125″ 21.034375 mm
27/32″ 0.84375″ 21.43125 mm
55/64″ 0.859375″ 21.828125 mm
7/8″ 0.875″ 22.225 mm
57/64″ 0.890625″ 22.621875 mm
29/32″ 0.90625″ 23.01875 mm
59/64″ 0.921875″ 23.415625 mm
15/16″ 0.9375″ 23.8125 mm
61/64″ 0.953125″ 24.209375 mm
31/32″ 0.96875″ 24.60625 mm
63/64″ 0.984375″ 25.003125 mm
1″ 1.0″ 25.4 mm

Inch fractions to the 1/64 of an inch and the equivalent decimal values in inches and metric values in millimeters

How to Convert Inches to Metric Measurements

To convert inch fractions to metric measurements, you need to keep in mind that there are 2.54 centimeters or 25.4 millimeters per inch.

So, to convert an inch fraction to centimeters, you multiply the inches by 2.54, and to convert to millimeters, multiply by 25.4.

cm = in × 2.54
mm = in × 25.4
You can also use a length converter such as an SAE to metric converter.

How to Find Inch Fractions on a Tape Measure

Finding measurements on a ruler or tape measure can be confusing at first, but once you understand how the marks are laid out, then you’ll see it is quite simple. Notice that the markings between the whole-inch numbers vary in length.

The longest markings will be the quarter-inch markings, i.e., the first marking is 1/4 inch, the second is 1/2 (2/4) inch, and the third is 3/4 inch.

The next longest markings will be the eighth-inch markings, i.e., the first marking is 1/8 inch, the second is 3/8 inch, the third is 5/8 inch, etc.

The smallest markings will be the sixteenth-inch markings, i.e., the first marking is 1/16 inch, the second is 3/16 inch, the third is 5/16 inch, etc.

We also have a free printable ruler with fraction measurements marked to help you learn how to find the inch fractions for a measurement. If you need measurements more precise than 64ths of an inch, then you will need to use a more accurate measuring tool such as calipers.

Frequently Asked Questions

An inch fraction is a fraction of an inch with a denominator that is a power of two. For example, 1/2, 3/8, 15/16, 17/32, and 33/64 are all examples of inch fractions.

If you are more familiar with the metric system, one inch is equal to 25.4 millimeters or 2.54 centimeters. If not, a standard paperclip is one inch long, and the diameter of a U.S. quarter is also approximately one inch.

You can use either decimals or fractions when representing portions of an inch. Typically we use fractions when the portion of an inch equals one of the common inch fractions in the list above.

The U.S. uses inches because it abides by the imperial system of measurements, whereas most of the rest of the world uses the metric system.

The United Kingdom adopted these imperial units in 1826, and since, at the time, it had much influence in the United States, the U.S. adopted them as well. Today, however, the United Kingdom has changed to primarily use the metric system.

Inches are usually represented either with the abbreviation in, or with a double apostrophe, known as a double prime, ″. For example:

5 inches = 5 in = 5″

Recommended

Feet and Inches Length Calculator

Posted on by Findpros

Feet and Inches Length Calculator

Add or subtract lengths in inches (decimal or fraction), feet, centimeters, and millimeters. Enter equations just like you would write it on paper, e.g. 4′ 3 7/8″ + 5 cm.

See the results in inches, feet, centimeters, and millimeters – all results are in imperial and metric.

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How to Add or Subtract Feet and Inches

Calculating feet and inches might seem complicated, but adding and subtracting measurements is actually really easy if you follow a few simple steps. While it’s easy to add or subtract feet and inches using a measurement calculator like the one above, if you follow a few basic steps, you can do it yourself!

Step One: Convert Feet and Inches to Decimal

The first thing to do when adding, subtracting, or doing other math with inches, feet, and other measurements is to convert all the measurements into a common unit of measure. For example, when reading a tape measure, inches will be in fraction form.

Let’s assume we want to perform a calculation using inches as our unit of measurement. Start by converting any fractional inches into decimals. Then convert any measurements in feet, centimeters, millimeters, etc. to inches.

Convert any inch fractions to decimal form by dividing the numerator of the fraction by the denominator, using a calculator if necessary. If there is a whole number associated with the fraction, add it to the decimal value after converting.

For example, if our measurement is 2 and 1/2 inches, first convert 1/2 to a decimal, which is 0.5, and then add it to 2, for a total of 2.5 inches.

You can also use an inch fraction calculator to quickly find the decimal value for an inch fraction.

For example:

3/8 = 3 ÷ 8 = .375 inches

Convert any feet to inches by multiplying the number of feet by 12, since there are 12 inches in a foot. Using a foot to inch conversion calculator also simplifies this step.

For example:

3 feet = 3 × 12 = 36 inches

Step Two: Add or Subtract the Converted Values

With all your measurements now in an inch decimal form, add or subtract them as you normally would, using a calculator as needed. The final result will be the length in inches; you can convert the result to any other unit at this point.

To express the sum or difference value in feet, simply divide by 12.

The following charts simplify the process of adding and subtracting fractional inch values together and might be faster than using a calculator.

Inch Fraction Addition Chart

Table showing the sum of common inch fractions. Add a fraction from the top heading and first column; the sum is where they intersect.

+ 1/8″ + 1/4″ + 3/8″ + 1/2″ + 5/8″ + 3/4″ + 7/8″ + 1″
1/8″ 1/4″ 3/8″ 1/2″ 5/8″ 3/4″ 7/8″ 1″ 1 1/8″
1/4″ 3/8″ 1/2″ 5/8″ 3/4″ 7/8″ 1″ 1 1/8″ 1 1/4″
3/8″ 1/2″ 5/8″ 3/4″ 7/8″ 1″ 1 1/8″ 1 1/4″ 1 3/8″
1/2″ 5/8″ 3/4″ 7/8″ 1″ 1 1/8″ 1 1/4″ 1 3/8″ 1 1/2″
5/8″ 3/4″ 7/8″ 1″ 1 1/8″ 1 1/4″ 1 3/8″ 1 1/2″ 1 5/8″
3/4″ 7/8″ 1″ 1 1/8″ 1 1/4″ 1 3/8″ 1 1/2″ 1 5/8″ 1 3/4″
7/8″ 1″ 1 1/8″ 1 1/4″ 1 3/8″ 1 1/2″ 1 5/8″ 1 3/4″ 1 7/8″
1″ 1 1/8″ 1 1/4″ 1 3/8″ 1 1/2″ 1 5/8″ 1 3/4″ 1 7/8″ 2″
Inch Fraction Subtraction Chart

Table showing the difference of common inch fractions. Subtract a fraction from the top heading from the first column; the difference is where they intersect.

− 1/8″ − 1/4″ − 3/8″ − 1/2″ − 5/8″ − 3/4″ − 7/8″ − 1″
1/8″ 0″ -1/8″ -1/4″ -3/8″ -1/2″ -5/8″ -3/4″ -7/8″
1/4″ 1/8″ 0″ -1/8″ -1/4″ -3/8″ -1/2″ -5/8″ -3/4″
3/8″ 1/4″ 1/8″ 0″ -1/8″ -1/4″ -3/8″ -1/2″ -5/8″
1/2″ 3/8″ 1/4″ 1/8″ 0″ -1/8″ -1/4″ -3/8″ -1/2″
5/8″ 1/2″ 3/8″ 1/4″ 1/8″ 0″ -1/8″ -1/4″ -3/8″
3/4″ 5/8″ 1/2″ 3/8″ 1/4″ 1/8″ 0″ -1/8″ -1/4″
7/8″ 3/4″ 5/8″ 1/2″ 3/8″ 1/4″ 1/8″ 0″ -1/8″
1″ 7/8″ 3/4″ 5/8″ 1/2″ 3/8″ 1/4″ 1/8″ 0″

We’ve covered the basics of adding length measurements, and we hope you’re feeling confident using the steps above. Learn more about how to add feet and inches with our in-depth guide.

How to Multiply or Divide Feet & Inches

The steps to multiply or divide feet and inches are similar to the steps for adding and subtracting above.

The first step in multiplying or dividing multiple measurements together is to convert the length measurements to the same unit of measurement and then to convert them to a decimal value. If the length measurements are in feet and inches, it might be easiest to convert to inches.

Step One: Convert Feet and Inches to Decimal

The first step in multiplying or dividing multiple measurements together is to convert the length measurements to the same unit of measurement and then to convert them to a decimal value. If the length measurements are in feet and inches, it might be easiest to convert to inches.

Step Two: Multiply or Divide

With the length values converted to a decimal, it’s now possible to multiply or divide just like you would with any decimal number. For example, if your inch value is 1.25 and you need to multiply by 2, simply multiply using 1.25 × 2 = 2.5.

If you need to multiply two measurements together, for instance, to calculate an area, then be sure to update the units to square units. For example, 2.5 in × 4 in = 10 in2.

The following charts make multiplying or dividing fractional inch values much easier.

Inch Fraction Multiplication Chart

Table showing the multiplication of common inch fractions. Multiply the fraction in the first column by the top heading’s value; the result is where they intersect.

× 2 × 3 × 4 × 5 × 6 × 7 × 8
1/8″ 1/4″ 3/8″ 1/2″ 5/8″ 3/4″ 7/8″ 1″
1/4″ 1/2″ 3/4″ 1″ 1 1/4″ 1 1/2″ 1 3/4″ 2″
3/8″ 3/4″ 1 1/8″ 1 1/2″ 1 7/8″ 2 1/4″ 2 5/8″ 3″
1/2″ 1″ 1 1/2″ 2″ 2 1/2″ 3″ 3 1/2″ 4″
5/8″ 1 1/4″ 1 7/8″ 2 1/2″ 3 1/8″ 3 3/4″ 4 3/8″ 5″
3/4″ 1 1/2″ 2 1/4″ 3″ 3 3/4″ 4 1/2″ 5 1/4″ 6″
7/8″ 1 3/4″ 2 5/8″ 3 1/2″ 4 3/8″ 5 1/4″ 6 1/8″ 7″
1″ 2″ 3″ 4″ 5″ 6″ 7″ 8″
Inch Fraction Division Chart

Table showing the division of common inch fractions. Divide the fraction in the first column by the top heading’s value; the result is where they intersect.

÷ 2 ÷ 3 ÷ 4 ÷ 5 ÷ 6 ÷ 7 ÷ 8
1/4″ 1/8″ 5/64″ 1/16″ 3/64″ 1/32″ 1/32″ 1/64″
1/2″ 1/4″ 11/64″ 1/8″ 7/64″ 5/64″ 1/16″ 1/16″
3/4″ 3/8″ 1/4″ 3/16″ 5/32″ 1/8″ 7/64″ 3/32″
1″ 1/2″ 21/64″ 1/4″ 13/64″ 11/64″ 9/64″ 1/8″

Inch Fraction and Decimal Equivalents

Sometimes a chart makes things easier: find common inch fractions and equivalent decimal values using this one.

 

Frequently Asked Questions

Feet are represented as “ft.” or a single apostrophe, such as 5 ft. or 5′. Inches are represented as “in.” or a double apostrophe, such as 5 in. or 5″.

Yes, 12 inches are equivalent in length to 1 foot.

To calculate inches from feet manually, first, convert any fractional feet to a decimal and add it to the whole number of feet, then multiply the resulting value by 12.

For example, to convert 2 1/2 feet to inches:
2 1/2 ft = 2.5 ft = 30 in

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Cylinder Cubic Yardage Calculator

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Cylinder Cubic Yardage Calculator

Calculate the volume in cubic yards for a cylinder given its height and diameter.

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How to Find the Cubic Yardage of a Cylinder

This calculator is perfect for finding the volume of a cylinder in cubic yards, given the height of the cylinder and the radius or diameter of its base. This is useful for determining cubic yardage needed for concrete projects, filling sonotubes, posts, or footings, building and construction projects, or landscaping projects.

This is also helpful for anyone trying to find the volume of a cylinder. Estimate the cost for materials to fill the cylinder by entering a price per cubic yard.

The volume of a cylinder is found by multiplying the radius squared times π times the height. The formula looks like this:

volume = π × r 2 × h

Steps to Find the Volume of a Cylinder in Cubic Yards

To calculate the volume of a cylinder in cubic yards using this formula, follow these steps.

  • Find the radius and height. If the diameter is known, then divide the diameter by 2 to get the radius, or use a radius calculator. The radius and height should be in yards; if you have other measurements convert to yards
  • Multiply the radius of the cylinder by itself, e.g. r2
  • Multiply times π to get the area of the cylinder’s base
  • Multiply times the height of the cylinder to get the volume
  • If you are trying to calculate the total cost of materials needed to fill the cylinder, then multiply the cubic yardage by the price per cubic yard to get the cost of materials
  • Use a tool such as our cylinder cubic footage calculator if you need results in cubic feet

It’s essential to convert each measurement to yards, or the resulting volume will not be in cubic yards. For example, if the measurements are in inches, then the result will be in cubic inches, and if they are in feet, then the result will be in cubic feet.

Circle Area Formula

area = π × (diameter ÷ 2)2
area = π × r 2

π = 3.14159265359

Cylinder Volume Formula

volume = π × (diameter ÷ 2)2 × height
volume = π × r 2 × h

π = 3.14159265359

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Cylinder Cubic Footage Calculator

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Cylinder Cubic Footage Calculator

Enter the diameter and height to calculate the cubic footage of a cylinder.

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How to Find the Volume of a Cylinder in Cubic Feet

Cubic footage is the measure of the volume of a space in cubic feet. To find the cubic footage of a cylinder, use the following formula:

volume = π × r2 × h

The volume of a cylinder in cubic feet is equal to π times the square of the base’s radius r in feet squared times the cylinder’s height h in feet.

π is roughly equal to 3.14159265359.

π = 3.14159265359

If you know the diameter of the cylinder, you can find the radius by dividing the diameter by two, or just use our circle diameter calculator.

radius = diameter ÷ 2

It’s important to ensure the radius and height are in feet, or the resulting volume will not be in cubic feet. For instance, if the measurements are in inches, then the result will be in cubic inches, and if they are in yards, then the result will be in cubic yards.

For example, let’s find the volume of a cylinder in cubic feet with a radius of 4′ and a height of 3′.

volume = π × 42 × 3
volume = 3.14159265359 × 16 × 3
volume = 150.8 cu ft

You might also be interested in our cylinder cubic yards calculator to calculate the volume of a cylinder in cubic yards.

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Cubic Yards Calculator

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Cubic Yards Calculator

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How to Calculate Cubic Yards

A cubic yard is the volume of a space equivalent to a cube with a length, width, and height of one yard. You’ll commonly see them abbreviated as cu yd or yd³.

There are a few easy ways to calculate cubic yards.

The first way to calculate the cubic yardage of any volume is to use the calculator above. It’s especially useful for construction and landscaping projects such as concrete, landscape material, fill, dirt, gravel, or containers.

You can also use one of the formulas below to calculate it yourself.

Cubic Yards Formula

To calculate cubic yards, multiply the width times the length times the height. Ensure that all dimensions are measured in yards.

cu yd = Lyd × Wyd × Hyd

If your measurements are in feet, the resulting volume will be in cubic feet, and if they are in inches, then the result will be in cubic inches.

To find the cubic yardage of a volume when the dimensions are measured in inches or another unit of measure, first convert all measurements to yards, then perform the multiplication.

Cubic Yards Formula Using Dimensions in Feet

Another way to find cubic yards is to take all measurements to feet, then multiply to find the volume in cubic feet, and finally divide the result by 27 to get the volume in cubic yards.

cu yd =
Lft × Wft × Hft
27

The steps to find cubic yards using this method are:

  • Measure the width, length, and height of the space in feet. If measurements are in inches, then be sure to convert to feet.
  • If the volume is a complex shape, it may be simplest to break it up into manageable parts and calculate the volume of each part separately. For instance, you can break up a complicated flower bed into several geometric areas, and then find the cubic yardage of each of those areas first, and finally add them all together.
  • If the volume is rectangular or cubic in shape, multiply the length times the width times the height in feet (l × w × h) to get the volume in cubic feet.
  • Finally, convert the cubic feet measurement to cubic yards by dividing the result by 27, since cubic yards are equal to cubic feet ÷ 27. When in doubt, use a conversion calculator for this step.

For example, let’s calculate the cubic yards for a space that is 12 ft long by 14 ft wide by 9 inches deep.

Since we already know the space’s dimensions, the next step is to convert all measurements to feet. Note that the depth measurement is in inches.

depth = 9 inches ÷ 12
depth = 0.75 feet

Next, calculate the volume in cubic feet.

cu ft = 12 ft × 14 ft × 0.75 ft
cu ft = 126 cu ft

Finally, convert the volume in cubic feet to cubic yards.

cu yds = 126 cu ft ÷ 27
cu yds = 4.67 cu yds

If you are calculating yardage for a concrete or landscaping project, understand that suppliers may not sell fractions of a yard of material. You may need to round up to the nearest yard and order that amount.

It is always worthwhile to ask your supplier if they will sell a partial yard of material to both save money and prevent waste.

To estimate the cost of materials, simply multiply the cubic yardage found above by the price per yard.

How Much is a Cubic Yard?

You’ve seen how to calculate them, but you still might be wondering just how much is a cubic yard?

One cubic yard is equivalent to a space that is one yard wide, one yard long, and one yard deep. The table below shows the size of the space equal to one cubic yard in other units.

1 cu yd = 1 yd x 1 yd x 1 yd

1 cu yd = 3 ft x 3 ft x 3 ft

1 cu yd = 36 in x 36 in x 36 in

1 cu yd = 0.9144 m x 0.9144 m x 0.9144 m

1 cu yd = 91.44 cm x 91.44 cm x 91.44 cm

Measurements in various units for a space with the volume of one cubic yard.

Cubic Yards Volume Formulas

The formula for calculating volume in cubic yards is different for various shapes. Refer to the shapes below for the appropriate volume formula.

Rectangular/Cubic Formula

Calculate the volume in cubic yards of a rectangular cuboid using the formula w × l × h.

yds3 = length × width × height
Round or Cylinder Formula

Calculate the volume in cubic yards of a cylinder using the formula πr2h, where r is the radius of the cylinder’s base and h is its height. If you know the diameter of the cylinder’s base instead of its radius, you can divide it in half to get the radius.

yds3 = ( π × (diameter ÷ 2)2 ) × height
yds3 = π × r2 × h

π = 3.14159265359

To estimate the volume of more shapes, try out our volume calculator.

Frequently Asked Questions

There are 27 cubic feet in a cubic yard.

This is variable depending on what kind of truck, but the volume of a 2022 Toyota Tacoma 6-foot truck bed is only 1.252 cubic yards. A cubic yard is probably bigger than you think, so be sure to check the size of your bed before you head to the landscape supplier!

This is dependent upon the dimensions of the area you are trying to cover. For example, a cubic yard of material covers an area of 1 square yard with 1 yard deep of material, but an area that is 2 yards by 3 yards will only be covered by 0.167 yards, or 6 inches of depth.

But, there are some rules of thumb you can follow. You can cover the following with 1 cubic yard of material:

10′ x 16′ x 2″ depth
9′ x 12′ x 3″ depth
9′ x 9′ x 4″ depth
7′ x 9′ x 5″ depth
6′ x 9′ x 6″ depth

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Cubic Meters Calculator

Calculate the cubic meters of a space given the length, width, and height measurements in millimeters, centimeters, meters, and even inches and feet.

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How to Calculate Cubic Meters

A cubic meter, or cubic metre as spelled in British English, is a measure of volume equivalent to a cube that has a length, width, and height of one meter. To calculate a volume in cubic meters, start by measuring your space or object.

When measuring, find the length, width, and height of the space in meters. If your measurements are in feet then the result would be in cubic feet and if they are in yards then the result would be in cubic yards.

Next, multiply the three measurements together to find the volume in cubic meters.

It’s as easy as that! If the space/object has a different shape than rectangular or cubic, check out our volume calculator for more complex shapes.

Cubic Meters Formula

cu m = length × width × height

The volume V in cubic meters is equal to the length times the width times the height, all measured in meters.

Cubic Meters Formula

cu m = length × width × height

The volume V in cubic meters is equal to the length times the width times the height, all measured in meters.

Calculate Cubic Meters Using Centimeter and Millimeter Measurements

Often a space will have measurements that are not easy or are too small to find in meters, and the measurements are in centimeters or millimeters. That’s OK! Use the formulas below to find cubic meters using centimeter and millimeter measurements.

Finding the volume in m3 when all measurements are in cm can be done like this (recall there are 100 cm in a meter, so we must divide by 1003 = 1,000,000):

cu m = length × width × height ÷ 1,000,000

Finding the volume in cubic meters when all measurements are in mm can be done like this (recall there are 1,000 mm in a meter, so we must divide by 1,0003 = 1,000,000,000):

cu m = length × width × height ÷ 1,000,000,000

We also have a cubic inches calculator.

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Calculate cubic inches using length, width, and height measurements in inches, feet, yards, millimeters, centimeters, or meters.

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Are you calculating engine displacement? Try our displacement calculator to calculate cubic inches.

How to Calculate Volume in Cubic Inches

A cubic inch is a measure of volume that is equivalent to the volume of a cube that has a length, width, and height of one inch. To calculate a volume in cubic inches, start by taking measurements of the length, width, and height.

When measuring, be sure to find the length, width, and height in inches. If your measurements are in a different unit, then the volume result will not be in cubic inches. For instance, if each measurement is in feet, then the resulting volume will be in cubic footage.

Then, multiply the dimensions of each side together to find the volume in cubic inches.

Cubic Inches Formula

If the measurements of the object or space’s dimensions are in inches, you can use the following formula to find its volume in cubic inches:

cu in = length × width × height

It’s that simple! Note, this equation is used for rectangular or cubic spaces, but you can also use our volume calculator to find the volume of more complex shapes.

Calculate Cubic Inches from Other Measurements

Often your measurements will be taken in units other than inches, and that’s OK! All we need to do is convert those measurements into inches, and then we can calculate the volume in cubic inches.

Use the formulas below to find cubic inches using centimeter and millimeter measurements. You can also use our volume converter to convert from cubic millimeters or cubic centimeters to cubic inches.

Use the following formula to find in3 when all measurements are in centimeters (there are 2.54 cm per inch and 2.543 = 16.387):

cu in = length × width × height ÷ 16.387

Use the following formula to find in3 when all measurements are in millimeters (there are 25.4 mm per inch and 25.43 = 16,387):

cu in = length × width × height ÷ 16,387

Should you have measurements in meters, you might also be interested in our cubic meters calculator.

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Cubic Feet Calculator

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Cubic Feet Calculator

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How to Calculate Cubic Feet

Cubic footage is the volume of a space measured in feet. Knowing the cubic footage of an object or space is often necessary for shipping, freight, landscaping projects, and even when selecting a refrigerator or microwave.

The first step to finding the volume of an object or space in cubic feet is to measure the length, width, and height of a space or item.

Then, if the measurements were recorded using a different unit of length, convert them to feet.

Finally, apply the volume formula below to calculate the cubic footage.

Cubic Footage Formula

To find the volume in cubic feet, multiply the three measurements in feet together. The volume formula looks like this:

volume = length × width × height

Thus, the volume in cubic feet is equal to the length times the width times the height, all measured in feet.

For example, let’s calculate the cubic footage of a 10×20 storage unit that measures 20 feet long by 10 feet wide, and is 8 feet high.

volume = 20′ × 10′ × 8′
volume = 1,600 cu ft

So, a 10×20 storage unit has 1,600 cubic feet of space.

pThis calculator supports calculating the volume of a cube or rectangle; check out our volume calculator to find the volume of even more shapes.

How to Calculate Cubic Footage Using Dimensions in Inches

If your measurements are in inches, then you can enter the inch measurements into the volume formula above and solve to find the volume in cubic inches.

Then, convert the volume in cubic inches to cubic feet by dividing the volume by 1,728.[1] The number 1,728 comes from the fact that you have to divide by 12 inches per foot three times, one for each dimension.

Therefore, to obtain the volume in cubic feet, you can either divide the volume, in cubic inches, by 12 three times, or just divide it by 1,728, which is equal to 123.

cu ft = cu in ÷ 1,728

You can also convert using our handy cubic inches to cubic feet conversion utility.

For example, let’s calculate the cubic feet of a microwave with a cooking area dimensions of 19″ by 14″ by 10″. Note that the volume of appliances are often measured using the interior dimensions rather than the exterior.

Start by finding the volume in cubic inches.

volume = 19″ × 14″ × 10″
volume = 2,660 cu in

Then divide by 1,728 to find cubic feet.

volume = 2,660 cu in ÷ 1,728
volume = 1.54 cu ft

So, this microwave has 1.54 cubic feet of cooking space.

How to Find Cubic Feet Using Square Feet

Given the area of a space, it’s possible to find the volume in cubic feet if its height is also known. The formula for volume using area and height is:

volume = area × height

The volume is equal to the area times the height.

Since square footage is a measure of area, you can simply multiply the area in square feet times the height in feet to find the cubic footage.

For example, let’s calculate how many cubic feet of mulch you need to fill a 50 square foot area with 6″ of mulch. Note that 6″ is equal to 1/2 a foot.

volume = 50 sq ft × 1/2 ft
volume = 25 cu ft

So, in this example you’ll need 25 cubic feet of mulch for this landscaping project. This is the same formula our mulch calculator uses.

You can also use our square footage to cubic footage calculator to simplify this calculation.

How to Convert a Volume to Cubic Feet

If you have a volume measurement in cubic inches, cubic yards, cubic centimeters, or cubic meters, you can convert it to cubic feet using the appropriate formula below.

This table shows the formula to convert several forms of volume to cubic footage.

Volume Unit Formula
cubic inches cu ft = cu in ÷ 1,728
cubic yards cu ft = cu yds × 27
cubic centimeters cu ft = cu cm ÷ 28,316.8
cubic meters cu ft = cu m × 35.3

For example, let’s convert 3 cubic yards to cubic feet.
Start by locating the formula in the table above.

volume = cu yds × 27

Then enter the measurement into the formula and solve.

volume = 3 × 27
volume = 81 cu ft

You can also use a volume conversion calculator to easily convert between different volumetric units.

A cubic foot is a measurement of the volume of a space in feet. In other words, cubic footage is the volume of a space calculated from its dimensions measured in feet.

One cubic foot is equivalent to the volume of a cube with width, length, and height equal to one foot.[2]

Measurements in cubic feet are primarily used in the US and parts of Canada. The rest of the world has adopted the metric system and typically uses metric volume measurements such as cubic meters.

As mentioned above, a cube with a volume of one cubic foot has sides that are one foot in each dimension. See the table below to see how big a cubic foot is in other units of measure.

Unit Dimensions
inches 12″ × 12″ × 12″
yards 0.334 yd × 0.334 yd × 0.334 yd
centimeters 30.48 cm × 30.48 cm × 30.48 cm
meters 0.3048 m × 0.3048 m × 0.3048 m

Dimensions of a cube with a volume of one cubic foot.

If your measurements are in yards, centimeters, meters, or another unit of length, then the process of finding cubic footage is similar to that when the dimensions are in inches.

Start by converting your measurements to feet. You can use a length converter to convert to feet, and the calculator above allows you to enter different units as well.

Finally, enter the converted measurements into the volume formula and solve.

To find the volume of a cylinder, use this formula:

cu ft = π × radius2 × height

Enter the radius and height in feet to get the volume in cubic feet. We also have a cylinder volume calculator that makes it easy to calculate.

Yes! Cubic feet can be expressed as ft3, cu ft, or CF, so you might see 5 cubic feet written as 5 ft3, 5 cu ft, or 5 CF.

A 3′ x 3′ x 3′ space is equal to 27 cubic feet, which is also equal to 1 cubic yard.

3 ft × 3 ft × 3 ft = 27 cu ft