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Gyaan Maths
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CBSE Maths · Class 9

Chapter 14: Math of Space: Surface Area and Volume

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Surface areas and volumes of the standard solids — cuboid, cube, cylinder, cone, sphere, hemisphere.

Questions

  1. Volume of cube of side 55 cm.
  2. TSA of cuboid 10×4×310\times 4\times 3.
  3. CSA of cylinder r=7,h=10r=7, h=10 (use π=22/7\pi=22/7).
  4. Volume of sphere with r=3r=3 (in terms of π\pi).
  5. Slant height of cone with r=6,h=8r=6, h=8.
  6. Volume of cone r=3,h=4r=3, h=4 (in π\pi).
  7. SA of hemisphere r=7r=7 (use π=22/7\pi=22/7).

Extra Practice (Optional)

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Answer Key (For Teachers)

  1. Answer: 125125 cm3^3
    Working: a3a^3.
  2. Answer: 164164 cm2^2
    Working: 2(lb+bh+hl)=2(40+12+30)2(lb+bh+hl) = 2(40+12+30).
  3. Answer: 440440 cm2^2
    Working: 2πrh2\pi r h.
  4. Answer: 36π36\pi
    Working: 43πr3\tfrac{4}{3}\pi r^3.
  5. Answer: 1010
    Working: 36+64\sqrt{36+64}.
  6. Answer: 12π12\pi
    Working: 13πr2h\tfrac{1}{3}\pi r^2 h.
  7. Answer: 462462 cm2^2
    Working: 3πr23\pi r^2.
Gyaan Maths · CBSE Class 9 · Chapter 14
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026