IMO Practice Test — Volume
6 Questions • 25 min • Olympiad level
25:00
Question 1 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 2 of 6
medium
A box is 4 × 3 × 5. Its volume is…
12
60
47
35
Explanation: 4 × 3 × 5 = 60.
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
hard
A cube has volume 64 cm³. What is the length of one side?
4 cm
8 cm
16 cm
6 cm
Explanation: 4 × 4 × 4 = 64, so the side is 4 cm.
Question 5 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 6 of 6
hard
A cuboid has volume 48 with length 4 and width 3. Its height is…
2
3
4
6
Explanation: 4 × 3 = 12; 48 ÷ 12 = 4.