Robinson Tuition
Year 7 · Key Stage 3 · free KS3 maths worksheet

Volume of prisms

11 original questions, 29 marks. Type your answers below for an instant mark and a score (algebra in any equivalent form, e.g. 2sqrt(3) or 2√3), or print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

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The questions

1

This cuboid is made from centimetre cubes. There are no gaps inside it.

The cuboid is 4 cubes long, 2 cubes deep and 3 cubes high.

Work out the volume of the cuboid.

1 mark
Show answer
24 cm³
2

A cuboid measures 6 cm by 4 cm by 3 cm.

Work out the volume of the cuboid.

State the units of your answer.

2 marks
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72 cm³
3

A dice is a cube with edges of length 2.5 cm.

Work out the volume of the dice.

2.5 cm
2 marks
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15.625 cm³
4

The cross-section of a prism is a right-angled triangle with base 8 cm and height 5 cm.

The length of the prism is 12 cm.

Work out the volume of the prism.

8 cm5 cm12 cm
3 marks
Show answer
240 cm³
5

A box of chocolates is a triangular prism.

The triangle at the end has a base of 10 cm and a height of 6 cm. The box is 15 cm long.

Work out the volume of the box.

10 cm15 cm6 cmDiagram NOT accurately drawn
2 marks
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450 cm³
6

A cuboid has a volume of 180 cm3.

The base of the cuboid measures 6 cm by 5 cm.

Work out the height of the cuboid.

3 marks
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6 cm
7

The cross-section of this prism is a right-angled triangle with base 8 cm and height 9 cm.

The volume of the prism is 360 cm3.

Work out the length, L, of the prism.

8 cm9 cmL cm
3 marks
Show answer
10 cm
8

Ayesha has a cube of modelling clay with edges of 6 cm.

She reshapes all of the clay into a cuboid. The cuboid is 8 cm long and 3 cm wide.

Work out the height of the cuboid.

3 marks
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9 cm
9

A doorstop is a triangular prism. Its cross-section is a right-angled triangle with shorter sides 6 cm and 4 cm. The doorstop is 15 cm long.

A cuboid has the same volume as the doorstop. The base of the cuboid measures 5 cm by 3 cm.

Work out the height of the cuboid.

3 marks
Show answer
12 cm
10

A box is a cuboid measuring 60 cm by 40 cm by 30 cm.

Packets of tea are cuboids measuring 10 cm by 8 cm by 6 cm.

The packets are packed into the box so that they fill it completely with no gaps.

Work out the number of packets that fill the box.

4 marks
Show answer
150
11

A cuboid has a square base with sides of x cm. The height of the cuboid is 5 cm.

The volume of the cuboid is 180 cm3.

Work out the value of x.

x cm5 cmx cm
3 marks
Show answer
6

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Answer the questions above and your score appears here.

Every question here is original and written by Robinson Tuition. It follows the Key Stage 3 programme of study; Year 9 sheets end with extension questions for top sets.

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