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Estimate and Compare Volumes of Cubes and Cuboids

In this worksheet, students will estimate and compare the volumes of the given cubes and cuboids.

'Estimate and Compare Volumes of Cubes and Cuboids' worksheet

Key stage:  KS 2

Curriculum topic:   Measurement

Curriculum subtopic:   Use Cubes/Cuboids

Difficulty level:  

Worksheet Overview

There are formulae to work out the volumes of these shapes:

 

Cube

Cube volume

 

We 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

Cuboid volume

 

You must know the length, the width and the height.

 

Volume of cuboid = length × width × height

 

 

e.g. How many 1 cm3 cubes will fit into this cuboid?

 

Cuboid volume

 

Answer:

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

Volume of cuboid  = length × width × height = 15 × 4 × 8 = 60 × 8 = 480 cm3.

So 480 cubes will fit.

 

 

e.g. Calculate the volume of this cube in mm3.

 

Cube volume

 

Answer:

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

This will be 70 mm.

NB: We want the answer in mm3 which is why we should work in mm not cm. You must convert to the correct unit before doing the calculation. If you try to convert the answer, you will get it wrong!

 

Volume of cube = side length × side length × side length = 70 × 70 × 70 = 49 × 7 × 10 × 10 × 10 = 343 × 1,000 = 343,000 mm3.

 

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

 

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