  # Formulae: Can I Use a Volume Formula?

In this worksheet, students must recognise when it is possible to use formulae for the volume of the given shapes. Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   3D Shapes

Difficulty level:   #### Worksheet Overview

You should know the following formulae to work out the volumes of these 3D solid shapes:

Cube You must know:

• the side length.

Remember that the length, the width and the height will all be equal to the side length, because this is a CUBE.

Volume of cube = side length × side length × side length

Cuboid You must know:

• the length
• the width
• the height.

Volume of cuboid = length × width × height

Example 1

Can a volume formula be used to work out the volume of this cuboid, and if so, which one is best? Answer

This is a cuboid.

We must know:

• the length
• the width
• the height.

The length is 15 cm, the width is 4 cm and the height is 8 cm.

Yes, we can use the volume formula:

Volume of cuboid  = length × width × height

Example 2

Can a volume formula be used to work out the volume of this cube, and if so, which one is best? Answer

This is a cube.

We must know:

• the side length.

The side length is 7 cm, so the width and the height are also 7 cm.

Yes, we can use the volume formula:

Volume of cube  = side length × side length × side length

Example 3

Can a volume formula be used to work out the volume of this cuboid, and if so, which one is best? Answer

This is a cuboid.

We must know:

• the length
• the width
• the height.

The length is 9 cm, the width is 4 cm but we do not know the height.

No, we cannot use a volume formula.

NB The length, the width and the height are all interchangeable with each other, depending on how you look at a cuboid.

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