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CBSE Maths · Class 8

Chapter 7: Cubes and Cube Roots

Name: ________________________
Date: ______________
Marks: ____ / 10

Perfect cubes and cube roots via prime factorisation.

Questions

  1. 1253\sqrt[3]{125}.
  2. 7293\sqrt[3]{-729}.
  3. Smallest number to divide 128128 to get a cube.
  4. 7293\sqrt[3]{729}.
  5. 643\sqrt[3]{-64}.
  6. Is 100100 a perfect cube?
  7. Smallest number to multiply 7272 to make a perfect cube.
  8. 12583\sqrt[3]{125\cdot 8}.
  9. Cube of 1212.
  10. 0.0013\sqrt[3]{0.001}.

Extra Practice (Optional)

  • Cube of 1111.
  • 21973\sqrt[3]{2197}.
  • Is 121121 a cube?

Answer Key (For Teachers)

  1. Answer: 55.
    Working: 53=1255^3=125.
  2. Answer: 9-9.
    Working: (9)3=729(-9)^3 = -729.
  3. Answer: 22.
    Working: 128=27128=2^7; divide by 22 to get 26=(22)32^6=(2^2)^3.
  4. Answer: 99
    Working: 939^3.
  5. Answer: 4-4
    Working: Odd root: 4-4.
  6. Answer: No.
    Working: 43=64,53=1254^3 = 64, 5^3 = 125.
  7. Answer: 33
    Working: 72=233272 = 2^3\cdot 3^2; need 33.
  8. Answer: 1010
    Working: =52= 5\cdot 2.
  9. Answer: 17281728
    Working: 12312^3.
  10. Answer: 0.10.1
    Working: 0.130.1^3.
Gyaan Maths · CBSE Class 8 · Chapter 7
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026