Volume of a Cube Calculator

Welcome to our Volume of a Cube Calculator page.

We explain how to find the volume of a cube and provide a quick calculator to work it out for you, step-by-step.

There is a separate calculator which will find the length of the side of a cube, if you already know the volume.

You can also take a look at our worked examples and try our practice sheets to help you master this skill.

Volume of a Cube Calculator

This calculator finds the volume of a cube when the side length is known.

Volume of a Cube Calculator

volume of a cube labelled image


Answer


Answer

 
 

How the Calculator Works

  1. Choose the length of side value: you can choose a whole number, decimal or fraction.
    • You can type a fraction by typing the numerator then '/' then the denominator.
    • You can type a mixed number by typing the whole-number part, then a space then the fraction part.
    • Examples: 2 1/2 (two and one-half); 3 4/5 (three and four-fifths); 7 1/3 (seven and one-third).
  2. Choose your units of measurement (default is none)
  3. Choose your desired accuracy (default is 2 decimal places)
  4. Click the Find Area button
  5. You will be shown the area as a decimal (and also a fraction if you typed the length as a fraction).

Volume of a Cube Calculator 2

This calculator finds the side length of the square when the area is known.

Volume of a Cube Calculator 2

Answer1


 
 

How the Calculator Works

  1. Choose the area value: you can choose a whole number, decimal or fraction.
  2. Choose your units of measurement (default is none)
  3. Choose your desired accuracy (default is 2 decimal places)
  4. Click the Find Side Length button
  5. You will be shown the side length as a decimal to the required accuracy.

Volume of a Cube Formula

volume of a cube formula image

To find the volume of a cube, we need to multiply the length by the width by the height.

As these are all the same, the volume of a cube is V = s x s x s = s3, where s is the length of each side.

Volume of a Cube Examples

Volume of a Cube Example 1

Find the volume of the cube below.

volume of a cube example 1

The length of each side of the cube is 17 cm.

The formula for the volume of a cube is \[ V = s^3, \; where \; s \; is \; the \; length \; of \; each \; side. \]

So this means that \[ V = 17^3 = 17 \cdot 17 \cdot 17 = 4913 \]

This means that the volume of the cube is 4913 cm3.

You can use Calculator 1 to solve this problem.



Volume of a Cube Example 2

Find the volume of the cube below.

volume of a cube example 2

The length of each side of the cube is 5 ½ in.

The formula for the volume of a cube is \[ V = s^3, \; where \; s \; is \; the \; length \; of \; each \; side. \]

So this means that \[ V = (5 {1 \over 2})^3 = 5 {1 \over 2} \cdot 5 {1 \over 2} \cdot 5 {1 \over 2} = {1331 \over 8} \]

This means that the volume of the cube is 166.375 in3.

You can use Calculator 1 to solve this problem.



Volume of a Cube Example 3

Find the volume of the cube below.

volume of a cube example 3

The length of each side of the cube is 1.2 m.

So this means that \[ V = (1.2)^3 = 1.2 \cdot 5 1.2 \cdot 5 1.2 = 1.728 \]

This means that the volume of the cube is 1.728 m3.

You can use Calculator 1 to solve this problem.



Volume of a Cube Example 4

Use the volume measurement to find the length of each side of the sube below. Give your answers correct to 2 decimal places.

volume of a cube example 4

In this example we know the volume, but we need to find the side length.

The formula for the volume of a cube is \[ V = s^3, \; where \; s \; is \; the \; length \; of \; each \; side. \]

If we rearrange this formula to find s in terms of V: \[ s = \sqrt [3] V \]

Substituting the volume value into this equation gives us:

\[ s = \sqrt [3] (2540) = 13.644... \]

This means that the side length of the cube is 13.64 cm to 2 decimal places.

You can use Calculator 2 to solve this problem.

Volume of a Cube Worksheets

We have created two worksheets for you to practice the skill of finding the volume and sde lengths of a range of different cubes.

Sheet 1: you have to find the volume of different cubes using the side length measurements.

Sheet 2: you have to find the side lengths of different cubes using the volume measurements.

You can use our area of a cube calculator to check you working out if you get stuck!

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

More Area Support and Resources

We have a range of other area worksheets and support pages for a range of different 2d shapes.

More Area & Volume Calculators

We have a range of other area calculators to help you find the area of a range of different 2d and 3d shapes.

Looking for more math calculators?

We have a wide range of free math calculators to help you.

Most of our calculators show you their working out so that you can see exactly what they have done to get the answer.

Our calculator hub page contains links to all of our calculators!

 

How to Print or Save these sheets

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Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

How to Print or Save these sheets

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Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

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