Volume & 3D Shapes Quiz

1. What is the volume of a cuboid 5 cm × 4 cm × 3 cm?

1. 24 cm³
2. 47 cm³
3. 60 cm³
4. 94 cm³

2. What is the formula for the volume of a cylinder?

1. 2πr²h
2. 2πrh
3. πr²
4. πr²h

3. A cylinder has radius 3 cm and height 10 cm. What is its volume? (Use π ≈ 3.14)

1. 188.4 cm³
2. 282.6 cm³
3. 300 cm³
4. 94.2 cm³

4. What is the volume of a sphere with radius 6 cm? (Use π ≈ 3.14)

1. 113.04 cm³
2. 150.72 cm³
3. 452.16 cm³
4. 904.32 cm³

5. What is the formula for the volume of a cone?

1. (1/3)πr²h
2. (2/3)πr²h
3. πr²h
4. πrh

6. A cone has radius 5 cm and height 12 cm. What is its volume? (Use π ≈ 3.14)

1. 1256 cm³
2. 314 cm³
3. 628 cm³
4. 942 cm³

7. How many faces, edges, and vertices does a triangular prism have?

1. 4 faces, 6 edges, 4 vertices
2. 5 faces, 8 edges, 5 vertices
3. 5 faces, 9 edges, 6 vertices
4. 6 faces, 12 edges, 8 vertices

8. What is the total surface area of a cylinder with radius 4 cm and height 7 cm? (Use π ≈ 3.14)

1. 175.84 cm²
2. 276.32 cm²
3. 351.68 cm²
4. 87.92 cm²

9. A rectangular prism has a volume of 120 cm³. Its base is 5 cm × 4 cm. What is its height?

1. 10 cm
2. 4 cm
3. 6 cm
4. 8 cm

10. What is Euler's formula for polyhedra?

1. F + V = E + 2
2. F × V = E
3. V + E = F
4. V − E + F = 2

11. What is the volume of a square pyramid with base side 6 cm and height 9 cm?

1. 108 cm³
2. 162 cm³
3. 324 cm³
4. 54 cm³

12. A sphere has a volume of 288π cm³. What is its radius?

1. 12 cm
2. 4 cm
3. 6 cm
4. 8 cm

13. A prism has a triangular cross-section with base 8 cm, height 5 cm, and length 12 cm. What is its volume?

1. 120 cm³
2. 200 cm³
3. 240 cm³
4. 480 cm³

14. What is the surface area of a sphere with radius 5 cm? (Use π ≈ 3.14)

1. 125.6 cm²
2. 157 cm²
3. 314 cm²
4. 78.5 cm²

15. A cylinder and a cone have the same radius and height. What is the ratio of their volumes?

1. 1:2
2. 1:3
3. 2:1
4. 3:1

16. How many vertices does a hexagonal prism have?

1. 12
2. 18
3. 6
4. 8

17. A cube has a total surface area of 150 cm². What is its volume?

1. 100 cm³
2. 125 cm³
3. 216 cm³
4. 25 cm³

18. A water tank is a cylinder with radius 1.5 m and height 4 m. How many litres does it hold? (1 m³ = 1000 litres, use π ≈ 3.14)

1. 18,840 litres
2. 28,260 litres
3. 56,520 litres
4. 9,420 litres

19. What is the name of a 3D shape with two circular faces and one curved surface?

1. Cone
2. Cylinder
3. Prism
4. Sphere

20. If the radius of a sphere is doubled, by what factor does its volume increase?

1. 2
2. 4
3. 6
4. 8