Surface Areas and Volumes Practice Questions

Class 9 · Mathematics · 1237 free MCQs with instant results and detailed explanations.

1237

Total

437

Easy

587

Medium

213

Hard

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Topics in Surface Areas and Volumes

Volume of Cuboid Cube Cylinder Cone Sphere 647

Surface Area of Cuboid Cube Cylinder Cone Sphere 590

Sample Questions from Surface Areas and Volumes

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Easy

What is the formula to calculate the surface area of a cube?

A. 6a²

B. 4a²

C. 2a²

D. a²

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Correct Answer: A

The surface area of a cube is calculated using the formula 6a², where 'a' is the length of a side.

Easy

A cylinder has a radius of 3 cm and a height of 5 cm. What is its curved surface area?

A. 30π cm²

B. 15π cm²

C. 20π cm²

D. 45π cm²

Show Answer & Explanation

Correct Answer: A

The curved surface area of a cylinder is calculated using the formula 2πrh. Here, 2π(3)(5) = 30π cm².

Easy

The radius of a sphere is 7 cm. What is its surface area?

A. 49π cm²

B. 144π cm²

C. 196π cm²

D. 28π cm²

Show Answer & Explanation

Correct Answer: C

The surface area of a sphere is calculated as 4πr². Here, 4π(7)² = 196π cm².

Medium

What is the volume of a cone with a radius of 3 cm and a height of 9 cm?

A. 27π cm³

B. 18π cm³

C. 36π cm³

D. 12π cm³

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Correct Answer: A

The volume of a cone is given by (1/3)πr²h. Substituting the given values gives (1/3)π(3)²(9) = 27π cm³.

Medium

Which of the following shapes has the greatest surface area for a given volume?

A. Cube

B. Sphere

C. Cone

D. Cylinder

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Correct Answer: B

For a given volume, a sphere has the least surface area compared to any other shape. Thus, it maximizes surface area for volume.

Medium

A cylinder has a radius of 4 cm and a height of 10 cm. What is its curved surface area?

A. 80π cm²

B. 40π cm²

C. 60π cm²

D. 20π cm²

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Correct Answer: A

The curved surface area of a cylinder is given by 2πrh. For this cylinder, it calculates to 2π(4)(10) = 80π cm².

Medium

A rectangular prism has dimensions of 3 cm, 4 cm, and 5 cm. What is its volume?

A. 60 cm³

B. 12 cm³

C. 15 cm³

D. 20 cm³

Show Answer & Explanation

Correct Answer: A

The volume of a rectangular prism is given by V = l × w × h. Here, V = 3 × 4 × 5 = 60 cm³.

Hard

A cylinder has a height of 10 cm and a radius of 3 cm. Find its curved surface area.

A. 60π cm²

B. 30π cm²

C. 100π cm²

D. 90π cm²

Show Answer & Explanation

Correct Answer: A

Curved surface area of cylinder = 2πrh = 2 * π * 3 * 10 = 60π cm².

Hard

A cone has a base radius of 3 cm and a height of 4 cm. Calculate its volume.

A. 12π cm³

B. 15π cm³

C. 9π cm³

D. 6π cm³

Show Answer & Explanation

Correct Answer: A

Volume of cone = (1/3)πr²h = (1/3)π * 3² * 4 = 12π cm³.

Q10

Hard

If the side of a cube is doubled, how much does its volume increase?

A. 8 times

B. 4 times

C. 16 times

D. 2 times

Show Answer & Explanation

Correct Answer: A

Volume of cube = a³; if a is doubled, new volume = (2a)³ = 8a³, so volume increases by 8 times.

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Surface Areas and Volumes — Class 9 Mathematics Practice Questions Online

This page contains 1237 practice MCQs for the chapter Surface Areas and Volumes in Class 9 Mathematics. The questions are organized by difficulty — 437 easy, 587 medium, 213 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 2 topics, giving you comprehensive coverage of the entire chapter.