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.
Quicklinks to ...
Volume of a Cube Calculator
This calculator finds the volume of a cube when the side length is known.
How the Calculator Works
- 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).
Volume of a Cube Calculator 2
This calculator finds the side length of the square when the area is known.
How the Calculator Works
- 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.
Volume of a Cube Formula
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.
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.
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.
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.
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 Resources
Take a look at some more of our worksheets similar to these.
Volume of a Cuboid Worksheets
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
Volume and Surface Area of a Box Calculator
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.
More Area & Volume Calculators
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
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Follow these 3 easy steps to get your worksheets printed out perfectly!
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!
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