Class 9 Mathematics Chapter 14: Math of Space: Surface Area and Volume — practice questions with answers
Free practice for Class 9 Mathematics, Chapter 14: Math of Space: Surface Area and Volume. Try the solved questions below, then take a free test with instant marking and explanations.
63 questions21 easy, 21 medium, 21 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. What is the total surface area of a cuboid with length l, width w and height h?
- 2(lw + wh + lh)
- lwh
- lw + wh + lh
- 4(l + w + h)
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Answer: A. 2(lw + wh + lh)
Why: Six rectangular faces in three equal pairs. [p.123, p.147]
Why: Six rectangular faces in three equal pairs. [p.123, p.147]
Q2. Find the volume of a cuboid 9 cm × 6 cm × 4 cm (cm³).
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Answer: 216 (± 0)
Why: 9 × 6 × 4 = 216 cm³. [p.125]
Why: 9 × 6 × 4 = 216 cm³. [p.125]
Q3. What does ‘right’ mean in ‘right circular cylinder’?
- The axis is perpendicular to the circular base
- It is the correct cylinder
- It leans to the right
- Its height equals its radius
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Answer: A. The axis is perpendicular to the circular base
Why: An inclined axis gives an oblique cylinder. [p.127]
Why: An inclined axis gives an oblique cylinder. [p.127]
Q4. What is a cross-section of a solid?
- The shape of a very thin slice through it
- Its outer surface
- Its total volume
- Its longest edge
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Answer: A. The shape of a very thin slice through it
Why: An MRI scan is like a set of cross-sections. [p.127–128]
Why: An MRI scan is like a set of cross-sections. [p.127–128]
Q5. Savitri makes a kaleidoscope of length 25 cm and radius 3.5 cm. Using π = 22/7, how much chart paper covers its curved surface (cm²)?
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Answer: 550 (± 0)
Why: 2 × 22/7 × 3.5 × 25 = 550 cm². [p.129]
Why: 2 × 22/7 × 3.5 × 25 = 550 cm². [p.129]
Q6. How is a right circular cone generated?
- By rotating a right triangle about one of its legs
- By rotating a rectangle
- By rotating a circle about a diameter
- By stacking circles of equal size
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Answer: A. By rotating a right triangle about one of its legs
Why: Then l² = h² + r². [p.130]
Why: Then l² = h² + r². [p.130]
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Frequently asked questions
How many practice questions are there for Class 9 Mathematics Chapter 14: Math of Space: Surface Area and Volume?
63 questions (21 easy, 21 medium, 21 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 9 Mathematics syllabus, used by CBSE and many state boards.