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.

Quicklinks to ...

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

- 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).

- Choose your units of measurement (default is none)
- Choose your desired accuracy (default is 2 decimal places)
- Click the Find Area button
- You will be shown the area as a decimal (and also a fraction if you typed the length as a fraction).

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

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

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 = s^{3}, where s is the length of each side.

Find the volume of the cube below.

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 cm^{3}.

You can use Calculator 1 to solve this problem.

Find the volume of the cube below.

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 in^{3}.

You can use Calculator 1 to solve this problem.

Find the volume of the cube below.

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 m^{3}.

You can use Calculator 1 to solve this problem.

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

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.

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!

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

Here is our range of volume worksheets.

Using these sheets will help your child to:

- know what volume is and how to find it;
- find the volume of simple shapes by counting cubes;
- find the volume of rectangular prisms (cuboids);
- solving basic problems involving volume

If you need to find the surface area or volume of a box, or cuboid, then we also have a calculator for you to work this out.

As well as a calculator, this page also has worked examples, formula and practice worksheets.

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

Each calculator page comes with worked examples, formulas and practice worksheets.

How to Print or Save these sheets

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

Follow these 3 easy steps to get your worksheets printed out perfectly!

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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