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🧾 CBSE · Class 9

Class 9 Maths: Surface Areas and Volumes Worksheet (with Answers)

A free, print-ready worksheet on Surface Areas and Volumes for CBSE Class 9 Maths, with a matching answer key. Use the sample below, or build your own with the exact mix of questions you need — no login, no ads.

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Sample worksheet

7 of 20 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.

  1. 1. The volume of a cube of side a is:
    • (a) 6a²
    • (b) a²
    • (c) a³
    • (d) 3a
  2. 2. The total surface area of a cuboid is:
    • (a) lbh
    • (b) 2(lb + bh + hl)
    • (c) 6a²
    • (d) 2πr(r + h)
  3. 3. The curved surface area of a cylinder is:
    • (a) πrl
    • (b) 2πr(r + h)
    • (c) 2πrh
    • (d) πr²h
  4. 4. The volume of a sphere of radius r is:
    • (a) 4πr²
    • (b) πr³
    • (c) (2/3)πr³
    • (d) (4/3)πr³
  5. 5. Write the volume formula of a cone.
  6. 6. Find the surface area of a cube of side 5 cm.
  7. 7. A closed cylindrical tank has radius 7 m and height 10 m. Find its total surface area. (π = 22/7)
View answers
  1. 1. (c) a³ — Cube volume = a³.
  2. 2. (b) 2(lb + bh + hl) — TSA of a cuboid = 2(lb + bh + hl).
  3. 3. (c) 2πrh — Cylinder CSA = 2πrh.
  4. 4. (d) (4/3)πr³ — Sphere volume = (4/3)πr³.
  5. 5. V = ⅓πr²h.
  6. 6. 6 × 5² = 150 cm².
  7. 7. TSA = 2πr(r + h) = 2 × (22/7) × 7 × (7 + 10) = 2 × 22 × 17 = 748 m².
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FAQ

Is this Class 9 Maths worksheet on Surface Areas and Volumes free?
Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.
Does the Surface Areas and Volumes worksheet come with answers?
Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.
Can I choose how many questions and which types?
Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.
Which board and class is this for?
This worksheet is aligned to CBSE Class 9 Maths, chapter “Surface Areas and Volumes”.