Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 A box is 4 cm long, 3 cm wide and 2 cm high. What is its volume in cubic centimetres?
Show worked solution
4 × 3 × 2 = 24 cubic cm.
2 A cube has edges of 3 cm. What is its volume in cubic centimetres?
Show worked solution
3 × 3 × 3 = 27 cubic cm.
3 A prism is 5 cm by 2 cm by 4 cm. What is its volume in cubic centimetres?
Show worked solution
5 × 2 × 4 = 40 cubic cm.
Level 2 · Core
4 A box has a volume of 60 cubic cm. Its base is 5 cm by 3 cm. How tall is it?
Show worked solution
Base: 5 × 3 = 15. Height: 60 ÷ 15 = 4 cm.
5 How many 1 cm cubes fit inside a box 6 cm by 2 cm by 3 cm?
Show worked solution
6 × 2 × 3 = 36 cubes.
6 A cube has a volume of 8 cubic cm. How long is each edge?
Show worked solution
2 × 2 × 2 = 8, so each edge is 2 cm.
Level 3 · Challenge
7 A box is 4 cm by 3 cm by 2 cm. Its height is doubled. What is the new volume in cubic centimetres?
Show worked solution
The new box is 4 × 3 × 4 = 48 cubic cm — double the original 24.
8 Two boxes have the same volume. The first is 8 cm by 3 cm by 2 cm. The second has a 6 cm by 4 cm base. How tall is it?
Show worked solution
Volume: 8 × 3 × 2 = 48. Second base: 6 × 4 = 24. Height: 48 ÷ 24 = 2 cm.
9 A crate is 10 cm by 8 cm by 6 cm. How many boxes 2 cm by 2 cm by 2 cm fit inside it?
Show worked solution
Crate: 10 × 8 × 6 = 480 cubic cm. Small box: 2 × 2 × 2 = 8. So 480 ÷ 8 = 60 boxes.