IMO Practice Test — Volume
6 Questions • 25 min • Olympiad level
25:00
Question 1 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 2 of 6
medium
If a cuboid has volume 24 and base 2 × 3, its height is…
2
4
6
8
Explanation: Base area 6; 24 ÷ 6 = 4.
Question 3 of 6
medium
A box is 4 × 3 × 5. Its volume is…
12
60
47
35
Explanation: 4 × 3 × 5 = 60.
Question 4 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 5 of 6
medium
A staircase is made of 1 + 2 + 3 = 6 cubes. Its volume is…
6 cubic units
3 cubic units
9 cubic units
12 cubic units
Explanation: Total cubes = 6.
Question 6 of 6
medium
How many boxes of volume 2 m³ fit in a room of 24 m³?
10
12
22
48
Explanation: 24 ÷ 2 = 12 boxes.