Month: July 2024

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

Recommended Add

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

Recommended

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

Recommended

Cubic Meters Calculator

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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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Cubic Inches Calculator

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Cubic Inches Calculator

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

Stone Calculator

Posted on by Findpros

Stone Calculator

Calculate the amount of stone or crushed stone you need in tons and cubic yards by entering the dimensions below. Estimate material using length/width/depth, area, or volume.

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Calculate Material Using Project Dimensions

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Find area Using our square footage calculator

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Find volume Using our cubic yards calculator

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Cost

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How Much Stone Do You Need?

To find out how much stone you need, you’ll first need to calculate the volume needed in cubic yards. You can do this using the classic volume formula and a few simple steps.

First, measure the length, width, and depth of the space in feet, then multiply them together to calculate the volume in cubic feet. Then, divide by 27 to get cubic yards. You can use a length converter to convert to feed if needed.

cubic feet = Lft × Wft × Dft cubic yards = cubic feet ÷ 27

If you are measuring the depth in inches, you can also measure the length and width in inches as well. Multiply the length, width, and depth together to calculate cubic inches, and divide by 46,660 to get the cubic yards.

cubic inches = Lin × Win × Din cubic yards = cubic inches ÷ 46,660


Next, calculate the amount of stone you need in tons by multiplying the volume by the density of the stone material. Crushed stone or gravel smaller than 2″ weighs 1.4 to 1.7 tons per cubic yard, while larger stone usually weighs 1.5 to 1.7 tons per cubic yard.

Below are the most common weights in tons per cubic yard for varying sizes and types of popular stones. Smaller rocks and rounded, smooth rocks may settle and give you more per cubic yard, while rough rocks and larger stones may give you less per cubic yard.

Stone Material Tons per Cubic Yard
Crushed Stone 1/4″ – 2″ 1.4 – 1.7
Crushed Stone 2″ – 6″ 1.5 – 1.7
Cobblestones 4″ – 8″ 1.3 – 1.6
Rip Rap 6″ – 9″ 1.7 – 2
Lava Rock 3/8″ – 2″ 0.65 – 0.9
Boulders 1 – 1.5

Tons per cubic yard for various types of stones

If you are calculating crushed stone for example, you would use the following formula:

amount of stone = cubic yards × 1.7

Thus, the amount of stone needed is equal to the volume in cubic yards times 1.7. You can also use our gravel calculator to find out how much gravel you need.

For other materials, check out our sand, soil, and mulch calculators.

Frequently Asked Questions

Gravel is one type of crushed stone used in landscaping. However, there are many other types of stone as well, measuring both smaller and larger than gravel, that may have different looks and uses.

This depends largely on the stone, the supplier, and how much you are purchasing. Some types of stone, like lava rock, may be sold by the yard, while boulders may be sold individually; most suppliers will sell large amounts of material by the ton, however.

This depends on the look you want to achieve. Boulders can be used for definition, while lava rock can be used as mulch, and cobblestones can make smooth walkways; all work well in landscaping.

Mulch is better at holding moisture in the ground, while some types of stone may be better for drainage and stopping erosion. Both can be useful in many landscaping practices.

Recommended Landscaping Resources

Soil Calculator

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Soil Calculator

Calculate the soil, topsoil, or fill dirt needed by entering the length, width, and depth of the space you want to fill. Read below for more details.

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Find area using our square footage calculator

How Much Soil You Need:
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Number of Soil Bags

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Material Weight (dry, loose or packed)

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Material Weight (wet)

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How Much Topsoil Do You Need?


When you are creating or refreshing a garden or other landscape feature, often you want to add new topsoil to the area. And, in the case of new raised beds, you might need enough new soil to fill your new box completely.

New soil gives your plants the nutrients, air circulation, and water drainage that they require to thrive.

Estimating the amount of soil needed for a garden
To achieve that balance, it’s a good idea to mix soil, compost, and potting blends for the best plant growth. Generally, a good proportion is 60% topsoil, 30% compost, and 10% potting mix if you are growing flowers, 20% compost and 70% topsoil if planting vegetables, or 10% compost if planting trees.

You may also need fill-dirt for landscaping projects and hardscapes, which is used to fill in large volumes. This may be leveling off an area or securing the area around a retaining wall.

Steps to Measure for Soil
  1. Using a tape measure, measure the length and width of the area(s) you want to fill. It’s best to write these numbers down.
  2. If the space is complex, break the area into smaller, regularly shaped sections, like in the diagram below. Then measure each section separately.
  3. Decide on the depth of the new soil that you want. For refreshing gardens, usually, 3-6 inches (76-152 mm) of new soil is sufficient. If you have a hard border or a raised bed, measure the depth of the partition. Remember that soil will settle, so be a little generous with this measurement.
  4. By far, the easiest way to calculate quantities is to use the soil calculator above! Enter your measurements, hit calculate, and it’s all worked out for you: cubic feet, yards, even the number of bags. And metric too.

Sometimes topsoil and compost are sold by weight, which varies depending on what the material is. In the US, a 40-pound bag measures between 0.5 and 0.75 cubic feet. The soil calculator bag estimation is based on 0.75 cubic feet per bag.

Steps to Calculate Soil Volume

If you want to do the calculations by hand, then skip Step 4 above, and do the following:

  1. Make sure all measurements are in the same units (usually inches or centimeters). The following calculation will use inches as an example to translate into cubic feet.
  2. Multiply your length, width, and depth in inches together to find your total cubic inches (length × width × depth). Divide this by 1,728 to find the volume in cubic feet.
  3. If you’re measuring multiple sections, add the volumes for each together.
  4. The result is the minimum volume of soil required for your project. You will need to figure the number of bags depending on what size you buy.


No matter how you get your total, you should consider buying in bulk by the cubic yard (or cubic meter) if you need a lot of material. The calculator above provides this volume for you.

For hand calculators, divide your total cubic feet by 27 (3×3×3) to get cubic yards.

Be sure to check your calculations and confirm your measurements using a cubic yards calculator. Give this number to your supplier, who will usually deliver the soil to your location for a small fee.

Soon your plants will be enjoying their new environment, and you will be enjoying your happy plants!

Check out our mulch calculator to estimate mulch for your garden bed, or see our gravel calculator to estimate stone, gravel, and other landscaping materials.

At this point, you still might be wondering just how much is a yard of dirt?

How Much is a Yard of Dirt?

One cubic yard is equal 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 of soil in other units of measurement.

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 of a space with the volume of one cubic yard of soil.

How to Estimate Soil in Tons

You can calculate how much soil you need in tons by multiplying its density, which is the weight of one yard of soil by the volume, which is the number of yards you need.

How Much Does a Yard of Topsoil Weigh?

So, how much does a cubic yard of dirt weigh? One yard of dry or loose soil weighs 1.0 – 1.3 tons, while one yard of wet or compacted soil weighs 1.5 – 1.7 tons.

Calculate the Total Weight

Once you know the density and total volume, use the following formula to calculate how much soil you need in tons.

weight (tons) = volume (yds) × density (tons/yd)

Thus, the amount of soil needed in tons is equal to the volume in yards times the density.

You might also be interested in our stone and sand calculators for more landscaping material estimates.

How to Calculate Soil Amendment

If you have had your soil tested and you need to amend the pH to better accommodate the types of plants you are growing, you will need to determine the correct amount of amendment to add to the soil.

Soil pH is the measurement of acidity or alkalinity in the soil on a scale of 1 – 14, with 7 being neutral. Because different plants require different pH measurements, you may need to amend your soil for the best growth.

Calculating Soil Amendment by Weight

Some soil amendments are calculated by weight, or the number of pounds of amendment needed for 100 square feet. To calculate this, multiply the length and width of the space in feet to find the square footage.

Next, you’ll need to get the amendment’s application rate, which can be found on the packaging. This is usually given in pounds per 100 square feet.

For example, for a 350 square-foot garden and an amendment rate of 2 pounds per 100 square feet, you would need 7 pounds of amendment using this calculation:

2 lbs ÷ 100 sq ft × 350 sq ft = 7 lbs
Calculating Soil Amendment by Volume

If the amendment is being added in large volumes, such as compost, that you may be purchasing by the yard, you will use a different calculation. For this, you need to know the number of total inches you want to apply converted into feet.

Next, multiply this by the number of square feet in your garden, then divide by 27 to get the total number of cubic yards of amendment required.

For example, for a 350 square-foot garden and a 3″ amendment, you would need 3.24 cubic yards of amendment using this calculation:

350 × 3/12′ = 87.5 cu ft
87.5 cu ft ÷ 27 = 3.24 cu yds

You can round up to ensure you have enough material for the garden, even if settlement occurs.

Frequently Asked Questions

This actually depends on the seller. Some will specify by the cubic yard, while others will specify by the ton; you can use the number of cubic yards you need to determine the number of tons if needed.

Topsoil is defined in the landscaping industry as soil that has been screened. The screening removes debris, pebbles, and large clumps to create an even texture.

While the terms may be used interchangeably at times, these are different things. Dirt is organic matter that includes sand, clay, pebbles, and rocks, but no nutrients or microorganisms that can help plants grow, while soil contains decomposed bedrock along with ecosystems made up of microorganisms and insects.

Not necessarily. Amendment can help correct the pH of your soil if it’s not right for the type of plants that you want to grow; you need to have your soil tested to find out its current pH before you know whether or not to amend it.

Soil is made up of a blend of decomposed materials and elements, including bedrock, along with living microorganisms, insects, and nutrients. Different types of soil may have different chemical make-ups, but each one is considered a living ecosystem that can help plants grow.

Recommended Landscaping Resources

Sod Weight Calculator

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Sod Weight Calculator

Calculate the weight of a sod order by entering the number of pallets below.

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How to Calculate Sod Weight

Are you planning on ordering and transporting a shipment of sod? If so, you might be wondering how much sod weighs.

How Much Does a Pallet of Sod Weigh?

One pallet of sod generally weighs 1,500 to 3,000 pounds, but that can vary depending on the moisture content, thickness of soil in the roll or slab, amount on the pallet, and the variety of grass.

So, using the weight per pallet, you can calculate the weight of sod by multiplying that by the number of pallets. Use our sod calculator to figure out how many pallets you’ll need.

total weight = weight per pallet × number of pallets

Keep in mind that this is only an estimate of the weight, and the actual weight could far exceed this if the sod has a very high moisture content.

Weight of sod rolls, slabs, and pallets

Roll (10 sq ft) 35 – 45 lbs
Roll (5 sq ft) 15 – 30 lbs
Pallet (500 sq ft) 1,500 – 3,000 lbs

For large loads like this, be sure to use safe loading and transportation practices and ensure your vehicle can properly handle the weight of the load.

Many sod farms also offer a delivery service, which can range in cost. Learn more about lawn project costs on our sod cost guide.

Recommended Landscaping Resources