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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 920 · 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.What is ∛216? =
  2. 2.What is ∛15625? =
  3. 3.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  4. 4.What is 13³? =
  5. 5.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  6. 6.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  8. 8.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  9. 9.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  10. 10.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  11. 11.What is 10³? =
  12. 12.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  13. 13.What is 19³? =
  14. 14.Which of these is a perfect cube? (a) 72 (b) 64 (c) 66
  15. 15.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  16. 16.Which of these is a perfect cube? (a) 1000 (b) 1124 (c) 1209
  17. 17.What is 6³? =
  18. 18.What is ∛6859? =
  19. 19.Which of these is a perfect cube? (a) 2231 (b) 2328 (c) 2197
  20. 20.Which of these is a perfect cube? (a) 3278 (b) 2768 (c) 2744
  21. 21.What is ∛343? =
  22. 22.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.What is 20³? =
  24. 24.What is 2³? =
  25. 25.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.What is 3³? =
  27. 27.What is ∛2197? =
  28. 28.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  29. 29.What is ∛8000? =
  30. 30.What is ∛4913? =
  31. 31.What is ∛2744? =
  32. 32.Which of these is a perfect cube? (a) 4027 (b) 4039 (c) 3375
  33. 33.Which of these is a perfect cube? (a) 343 (b) 352 (c) 404
  34. 34.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  35. 35.What is ∛12167? =
  36. 36.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  38. 38.What is ∛9261? =
  39. 39.What is 15³? =
  40. 40.What is 5³? =

Answer key

  1. 6
  2. 25
  3. 9
  4. 2197
  5. 5
  6. 20
  7. 25
  8. 4
  9. 25
  10. 5
  11. 1000
  12. 18
  13. 6859
  14. 64
  15. 8
  16. 1000
  17. 216
  18. 19
  19. 2197
  20. 2744
  21. 7
  22. 125
  23. 8000
  24. 8
  25. 8
  26. 27
  27. 13
  28. 9
  29. 20
  30. 17
  31. 14
  32. 3375
  33. 343
  34. 4
  35. 23
  36. 125
  37. 17
  38. 21
  39. 3375
  40. 125

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