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Calculate the Volume of a Cube

In this worksheet, students will calculate the volume of a cube.

'Calculate the Volume of a Cube' worksheet

Key stage:  KS 4

Year:  GCSE

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR,

Curriculum topic:   Geometry and Measures, Mensuration

Curriculum subtopic:   Mensuration and Calculation Volume and Surface Area Calculations

Difficulty level:  

Worksheet Overview

The volume is the amount of space that a substance or object occupies, or that is enclosed within a container.

 

A set of cubes

 

A cube was probably one of the first toys you were given as a young child to build things with.

It is something you never grow out of.

 Even now, when a teacher puts them on your desk at school for an activity, you probably try and make something.

Some things never change.

 

Girl thinking

 

Think about where you see cubes in the real world.

There are endless examples, but here are just a few: dice, sugar cubes, fudge, Rubik's cube, packages, plant pots etc.

 

To find out the volume of items such as these we need a formula.

 

A cube

 

Because a cube is three dimensional, we are looking for three measurements as shown above.

 

The volume of a cube is length x length x length

sometimes written as base x length x height

 

Question marks

 

Think about what you know already.  A cube has square faces.

Squares have sides that are all the same length.

 

A cube

 

The volume of this cube = 7 x 7 x 7 = 343 cm³

We measure volume in units cubed.

On your calculator, you can do 7 then press x³ button

 

Try the activities by putting all three numbers in so that you are 100% confident in what you are doing.

You may not always be allowed a calculator for this type of question.

 

A warning triangle  

 

Warning - An easy mistake is 7 x 3 = 21 cm³  As you can see, this is a totally different answer!

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