Year 7 Maths — Volume with unit cubes
Find the volume of a box by counting the unit cubes that fill it.
Name: ________________________
1.Match each box to the number of unit cubes that fill it.
- 2 by 2 by 2
- 2 by 3 by 2
- 3 by 3 by 2
- 4 by 3 by 2
- 5 by 4 by 2
- 12
- 18
- 24
- 8
- 40
2.A cuboid is built from 2 layers. Each layer is 6 cubes long and 2 cubes wide. How many cubes are there altogether?
3.Which of these boxes holds the most unit cubes?
- a) 1 by 5 by 5
- b) 2 by 3 by 4
- c) 3 by 3 by 3
- d) 2 by 2 by 6
4.A cuboid is built from 36 unit cubes in 3 equal layers. How many cubes are in each layer?
5.A box is 4 cubes long, 3 cubes wide and 2 cubes tall. How many unit cubes fill it?
6.A tower is built from 3 layers, and each layer holds 4 cubes. How many cubes is that altogether?
7.A cube measures 3 unit cubes along every edge. How many unit cubes is it built from?
- a) 27
- b) 9
- c) 81
- d) 18
8.A cuboid is 6 cm long, 3 cm wide and 2 cm tall. What is its volume, in cubic centimetres? Give just the number.
Answer key — Year 7 Maths — Volume with unit cubes
- 1. 2 by 2 by 2 → 8; 2 by 3 by 2 → 12; 3 by 3 by 2 → 18; 4 by 3 by 2 → 24; 5 by 4 by 2 → 40
- 2. 24
- 3. c) 3 by 3 by 3
- 4. 12
- 5. 24
- 6. 12
- 7. a) 27
- 8. 36