Class 9 Maths Chapter 14 MCQs with Answers – Surface Area and Volume

Class 9 Maths Chapter 14 MCQs

15 MCQs for Class 9 Maths Chapter 14 – Surface Area and Volume

Question 1. What is the volume of a cube with side length 3 cm?

A. 9 cm³

B. 18 cm³

C. 27 cm³

D. 36 cm³

Question 2. What is the total surface area of a cube with side length 4 cm?

A. 16 cm²

B. 64 cm²

C. 96 cm²

D. 128 cm²

Question 3. Find the volume of a cuboid with length 5 cm, breadth 4 cm and height 3 cm.

A. 12 cm³

B. 20 cm³

C. 47 cm³

D. 60 cm³

Question 4. What is the volume of a cube with side length 5 cm?

A. 25 cm³

B. 75 cm³

C. 100 cm³

D. 125 cm³

Question 5. Which formula gives the volume of a cuboid?

A. l + b + h

B. 2(lb + bh + hl)

C. l × b × h

D. 4l

Question 6. A cube has side length 6 cm. What is its lateral surface area?

A. 36 cm²

B. 72 cm²

C. 144 cm²

D. 216 cm²

Question 7. A cuboid has length 8 cm, breadth 3 cm and height 2 cm. Find its total surface area.

A. 48 cm²

B. 72 cm²

C. 92 cm²

D. 96 cm²

Question 8. What is the volume of a cylinder with radius 3 cm and height 5 cm?

A. 15π cm³

B. 30π cm³

C. 45π cm³

D. 90π cm³

Question 9. Which formula gives the curved surface area of a cylinder?

A. πr²h

B. 2πrh

C. 2πr²

D. 4πr²

Question 10. A cylinder has radius 7 cm and height 10 cm. What is its volume?

A. 70π cm³

B. 140π cm³

C. 490π cm³

D. 700π cm³

Question 11. If the side of a cube is doubled, how does its volume change?

A. It doubles.

B. It becomes four times as large.

C. It becomes six times as large.

D. It becomes eight times as large.

Question 12. A cuboid measures 10 cm × 5 cm × 2 cm. What is its volume?

A. 17 cm³

B. 50 cm³

C. 100 cm³

D. 200 cm³

Question 13. What is the total surface area of a cube with side length 7 cm?

A. 49 cm²

B. 196 cm²

C. 294 cm²

D. 343 cm²

Question 14. A cylinder has radius 2 cm and height 7 cm. Find its curved surface area.

A. 14π cm²

B. 21π cm²

C. 28π cm²

D. 56π cm²

Question 15. Which unit is most appropriate for expressing the volume of a water tank?

A. cm

B. cm²

C. cm³

D. cm⁻¹

Answer Key – Class 9 Maths Chapter 14 MCQ

Answer Key with Explanations – Chapter 14

1 — C. 27 cm³. Volume of a cube = side³ = 3³ = 27 cm³.

2 — C. 96 cm². Total surface area = 6a² = 6 × 4² = 96 cm².

3 — D. 60 cm³. Volume = l × b × h = 5 × 4 × 3 = 60 cm³.

4 — D. 125 cm³. Volume = 5³ = 125 cm³.

5 — C. l × b × h. The volume of a cuboid equals length multiplied by breadth multiplied by height.

6 — B. 144 cm² is incorrect; the correct answer is C. 144 cm²?

Lateral surface area of a cube = 4a² = 4 × 6² = 144 cm². Therefore, the correct option is C. 144 cm².

7 — C. 92 cm². Total surface area = 2(lb + bh + hl) = 2(8 × 3 + 3 × 2 + 2 × 8) = 2(24 + 6 + 16) = 92 cm².

8 — C. 45π cm³. Volume of a cylinder = πr²h = π × 3² × 5 = 45π cm³.

9 — B. 2πrh. Curved surface area of a cylinder = 2πrh.

10 — D. 490π cm³. Volume = π × 7² × 10 = 490π cm³.

11 — D. It becomes eight times as large. Doubling the side changes volume from a³ to (2a)³ = 8a³.

12 — C. 100 cm³. Volume = 10 × 5 × 2 = 100 cm³.

13 — C. 294 cm². Total surface area = 6 × 7² = 294 cm².

14 — C. 28π cm². Curved surface area = 2πrh = 2 × π × 2 × 7 = 28π cm².

15 — C. cm³. Volume is measured in cubic units, such as cm³ or m³.

Quick Revision

• Cube volume: a³
• Cube total surface area: 6a²
• Cube lateral surface area: 4a²
• Cuboid volume: l × b × h
• Cuboid total surface area: 2(lb + bh + hl)
• Cylinder volume: πr²h
• Cylinder curved surface area: 2πrh
• Volume units: Cubic units, such as cm³ and m³.

NEED MORE PRACTICE?

Strengthen your geometry and measurement skills with our Class 9 Maths Chapter 14 Worksheet — 50 MCQs from Science World By Tushar Sir.

• 50 additional multiple-choice questions
• Answer key and solutions
• Convenient downloadable PDF