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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 150 · 40 sums
TalentJR

The method (Threes make cubes): Cube: n × n × n. Cube root: the number that, used three times, gives the cube. Units digits: 1→1, 2→8, 3→7, 4→4, 5→5, 6→6, 7→3, 8→2, 9→9, 0→0 — use them to guess cube roots. Make a perfect cube: break into primes; multiply by what completes each group of three (or divide by what is left over). A big cube of edge a cut into small cubes of edge b gives (a ÷ b)³ small cubes.

NameDateTime takenScore ___ / 40
  1. 1.Which of these is a perfect cube? (a) 2119 (b) 1854 (c) 1728
  2. 2.What is ∛64? =
  3. 3.What is 8³? =
  4. 4.What is 11³? =
  5. 5.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  6. 6.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  7. 7.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 1406 (b) 1545 (c) 1331
  9. 9.What is 13³? =
  10. 10.What is 15³? =
  11. 11.What is 10³? =
  12. 12.What is ∛9261? =
  13. 13.What is ∛343? =
  14. 14.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  15. 15.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.What is 9³? =
  17. 17.Which of these is a perfect cube? (a) 64 (b) 66 (c) 91
  18. 18.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  19. 19.What is ∛216? =
  20. 20.Which of these is a perfect cube? (a) 2456 (b) 2583 (c) 2197
  21. 21.What is ∛15625? =
  22. 22.What is ∛13824? =
  23. 23.What is 17³? =
  24. 24.What is ∛4096? =
  25. 25.What is 5³? =
  26. 26.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  27. 27.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  28. 28.Which of these is a perfect cube? (a) 2863 (b) 2990 (c) 2744
  29. 29.What is ∛8? =
  30. 30.Which of these is a perfect cube? (a) 171 (b) 157 (c) 125
  31. 31.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 27 (b) 36 (c) 46
  33. 33.What is ∛8000? =
  34. 34.What is ∛5832? =
  35. 35.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  36. 36.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛6859? =
  38. 38.What is 14³? =
  39. 39.What is ∛27? =
  40. 40.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?

Answer key

  1. 1728
  2. 4
  3. 512
  4. 1331
  5. 8
  6. 3
  7. 125
  8. 1331
  9. 2197
  10. 3375
  11. 1000
  12. 21
  13. 7
  14. 27
  15. 64
  16. 729
  17. 64
  18. 9
  19. 6
  20. 2197
  21. 25
  22. 24
  23. 4913
  24. 16
  25. 125
  26. 2
  27. 5
  28. 2744
  29. 2
  30. 125
  31. 5
  32. 27
  33. 20
  34. 18
  35. 4
  36. 19
  37. 19
  38. 2744
  39. 3
  40. 9

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