Calculator Tag: Measurement

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

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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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cubic footage calculator
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cubic footage calculator

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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