IMO Practice Test: Volume | Class 5 Mathematics

Question 1 of 6 hard

A 1 m³ block is cut into 1 cm cubes — but in this problem, how many 10 cm cubes fit in a 1 m cube? (1 m = 100 cm)

10

100

1000

10000

Explanation: Along each edge fit 100 ÷ 10 = 10; total = 10 × 10 × 10 = 1000.

Question 2 of 6 medium

A box has volume 100 cm³ and base area 25 cm². How tall is it?

2 cm

4 cm

5 cm

75 cm

Explanation: 100 ÷ 25 = 4 cm.

Question 3 of 6 hard

A box is filled with 5 layers, each having 6 cubes. Total volume?

11

30

25

36

Explanation: 6 × 5 = 30 cubes.

Question 4 of 6 medium

A box is 4 × 3 × 5. Its volume is…

12

60

47

35

Explanation: 4 × 3 × 5 = 60.

Question 5 of 6 medium

A 3 × 3 × 3 cube is made of how many unit cubes?

9

18

27

12

Explanation: 3 × 3 × 3 = 27.

Question 6 of 6 hard

A cube of side 2 has volume 8. If each side doubles to 4, the new volume is…

16

32

64

24

Explanation: 4 × 4 × 4 = 64 (doubling each side multiplies volume by 8).

IMO Practice Test — Volume