20 Volume Quiz Questions and Answers

Volume is the measure of the amount of space occupied by a three-dimensional object, typically expressed in cubic units (e.g., cubic meters, cubic centimeters). For example:

Cube: Volume = side³
Sphere: Volume = (4/3)πr³
Cylinder: Volume = πr²h

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Part 2: 20 volume quiz questions & answers

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1. Question: What is the volume of a cube with a side length of 4 cm?
A) 16 cm³
B) 32 cm³
C) 64 cm³
D) 128 cm³
Answer: C) 64 cm³
Explanation: The formula for the volume of a cube is side³. For a side length of 4 cm, 4 × 4 × 4 = 64 cm³.

2. Question: What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm?
A) 10 cm³
B) 15 cm³
C) 30 cm³
D) 50 cm³
Answer: C) 30 cm³
Explanation: The formula for the volume of a rectangular prism is length × width × height. So, 5 × 3 × 2 = 30 cm³.

3. Question: What is the volume of a cylinder with radius 3 cm and height 5 cm? (Use π ≈ 3.14)
A) 47.1 cm³
B) 94.2 cm³
C) 141.3 cm³
D) 188.4 cm³
Answer: C) 141.3 cm³
Explanation: The formula for the volume of a cylinder is πr²h. So, 3.14 × (3)² × 5 = 3.14 × 9 × 5 = 141.3 cm³.

4. Question: What is the volume of a sphere with radius 2 cm? (Use π ≈ 3.14)
A) 16.75 cm³
B) 33.49 cm³
C) 50.24 cm³
D) 67.02 cm³
Answer: B) 33.49 cm³
Explanation: The formula for the volume of a sphere is (4/3)πr³. So, (4/3) × 3.14 × (2)³ = (4/3) × 3.14 × 8 ≈ 33.49 cm³.

5. Question: If a container has a volume of 100 mL and is filled with water to 50% capacity, what is the volume of water?
A) 25 mL
B) 50 mL
C) 75 mL
D) 100 mL
Answer: B) 50 mL
Explanation: 50% of 100 mL is 0.50 × 100 = 50 mL.

6. Question: What is the volume of a cone with radius 4 cm and height 6 cm? (Use π ≈ 3.14)
A) 80.64 cm³
B) 100.48 cm³
C) 201.06 cm³
D) 301.44 cm³
Answer: C) 201.06 cm³
Explanation: The formula for the volume of a cone is (1/3)πr²h. So, (1/3) × 3.14 × (4)² × 6 = (1/3) × 3.14 × 16 × 6 ≈ 201.06 cm³.

7. Question: A tank has a volume of 200 liters. If 150 liters are removed, what is the remaining volume?
A) 25 liters
B) 50 liters
C) 75 liters
D) 150 liters
Answer: B) 50 liters
Explanation: Subtract the removed volume from the total: 200 liters – 150 liters = 50 liters.

8. Question: What is the volume of a pyramid with base area 20 cm² and height 9 cm?
A) 60 cm³
B) 90 cm³
C) 180 cm³
D) 360 cm³
Answer: A) 60 cm³
Explanation: The formula for the volume of a pyramid is (1/3) × base area × height. So, (1/3) × 20 × 9 = 60 cm³.

9. Question: If two identical cubes each have a volume of 8 cm³, what is the total volume when combined?
A) 4 cm³
B) 8 cm³
C) 16 cm³
D) 32 cm³
Answer: C) 16 cm³
Explanation: Add the volumes: 8 cm³ + 8 cm³ = 16 cm³.

10. Question: What is the volume of a hemisphere with radius 3 cm? (Use π ≈ 3.14)
A) 28.26 cm³
B) 56.52 cm³
C) 84.78 cm³
D) 113.04 cm³
Answer: A) 28.26 cm³
Explanation: The formula for the volume of a hemisphere is (2/3)πr³. So, (2/3) × 3.14 × (3)³ = (2/3) × 3.14 × 27 ≈ 28.26 cm³.

11. Question: A room measures 10 m in length, 5 m in width, and 3 m in height. What is its volume?
A) 30 m³
B) 50 m³
C) 100 m³
D) 150 m³
Answer: D) 150 m³
Explanation: The volume is length × width × height: 10 × 5 × 3 = 150 m³.

12. Question: What is the volume of a cylinder with diameter 10 cm and height 4 cm? (Use π ≈ 3.14)
A) 125.6 cm³
B) 251.2 cm³
C) 314 cm³
D) 628 cm³
Answer: C) 314 cm³
Explanation: Radius is half the diameter, so radius = 5 cm. Volume = πr²h = 3.14 × (5)² × 4 = 3.14 × 25 × 4 = 314 cm³.

13. Question: If a liquid has a volume of 500 mL and is poured into a container with a capacity of 1 liter, how much space is left?
A) 0 mL
B) 250 mL
C) 500 mL
D) 1000 mL
Answer: C) 500 mL
Explanation: 1 liter = 1000 mL, so space left = 1000 mL – 500 mL = 500 mL.

14. Question: What is the volume of a sphere with diameter 6 cm? (Use π ≈ 3.14)
A) 36.17 cm³
B) 72.34 cm³
C) 113.04 cm³
D) 226.08 cm³
Answer: C) 113.04 cm³
Explanation: Radius = 3 cm. Volume = (4/3)πr³ = (4/3) × 3.14 × (3)³ = (4/3) × 3.14 × 27 ≈ 113.04 cm³.

15. Question: A box has dimensions 2 cm × 4 cm × 5 cm. What is its volume?
A) 10 cm³
B) 20 cm³
C) 40 cm³
D) 80 cm³
Answer: C) 40 cm³
Explanation: Volume = length × width × height = 2 × 4 × 5 = 40 cm³.

16. Question: What is the volume of a cone with diameter 6 cm and height 9 cm? (Use π ≈ 3.14)
A) 84.78 cm³
B) 113.04 cm³
C) 169.56 cm³
D) 339.12 cm³
Answer: A) 84.78 cm³
Explanation: Radius = 3 cm. Volume = (1/3)πr²h = (1/3) × 3.14 × (3)² × 9 = (1/3) × 3.14 × 9 × 9 ≈ 84.78 cm³.

17. Question: If a container’s volume is 2 liters and it is half full, what is the volume of the contents?
A) 0.5 liters
B) 1 liter
C) 1.5 liters
D) 2 liters
Answer: B) 1 liter
Explanation: Half of 2 liters is 1 liter.

18. Question: What is the volume of a rectangular tank that is 8 m long, 2 m wide, and 3 m high?
A) 24 m³
B) 48 m³
C) 96 m³
D) 192 m³
Answer: B) 48 m³
Explanation: Volume = length × width × height = 8 × 2 × 3 = 48 m³.

19. Question: What is the volume of a sphere with radius 5 cm? (Use π ≈ 3.14)
A) 261.8 cm³
B) 523.6 cm³
C) 785.4 cm³
D) 1047.2 cm³
Answer: B) 523.6 cm³
Explanation: Volume = (4/3)πr³ = (4/3) × 3.14 × (5)³ = (4/3) × 3.14 × 125 ≈ 523.6 cm³.

20. Question: A cylinder has a volume of 200 cm³ and height of 5 cm. What is its radius? (Use π ≈ 3.14)
A) 2 cm
B) 4 cm
C) 6 cm
D) 8 cm
Answer: B) 4 cm
Explanation: Volume = πr²h. So, 200 = 3.14 × r² × 5. Solve for r²: r² = 200 / (3.14 × 5) ≈ 12.74. r ≈ √12.74 ≈ 4 cm.

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