IMO Practice Test — Three-Dimensional Shapes
6 Questions • 12 min • Olympiad level
12:00
Question 1 of 6
hard
Cube edges all = 3cm. Total length of all edges?
18 cm
24 cm
36 cm
48 cm
Explanation: 12 edges x 3 = 36 cm
Question 2 of 6
hard
Which 3D shape has exactly 5 faces?
Cube
Cylinder
Triangular prism
Rectangular prism
Explanation: Triangular prism has 5 faces
Question 3 of 6
medium
Rectangular prism has how many vertices?
4
6
8
12
Explanation: 8 vertices
Question 4 of 6
hard
Cube: 6 faces 8 vertices. F+V-E=2. Edges?
10
12
14
16
Explanation: 6+8-E=2; E=12
Question 5 of 6
medium
Cylinder has how many curved surfaces?
0
1
2
3
Explanation: Cylinder has 1 curved surface
Question 6 of 6
medium
Which solid has 2 circular faces and 1 curved surface?
Cone
Sphere
Cylinder
Prism
Explanation: Cylinder