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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 638 · 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 the smallest whole number by which 576 must be divided to get a perfect cube?
  2. 2.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  3. 3.What is 2³? =
  4. 4.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  5. 5.What is ∛8? =
  6. 6.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.Which of these is a perfect cube? (a) 1225 (b) 1000 (c) 1300
  8. 8.What is ∛2197? =
  9. 9.What is ∛64? =
  10. 10.Which of these is a perfect cube? (a) 2044 (b) 1728 (c) 1826
  11. 11.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛1000? =
  13. 13.What is ∛216? =
  14. 14.What is 11³? =
  15. 15.Which of these is a perfect cube? (a) 3201 (b) 2828 (c) 2744
  16. 16.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  17. 17.What is 20³? =
  18. 18.Which of these is a perfect cube? (a) 84 (b) 93 (c) 64
  19. 19.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 729 (b) 940 (c) 792
  21. 21.What is 17³? =
  22. 22.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  23. 23.What is 8³? =
  24. 24.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  25. 25.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.What is 3³? =
  27. 27.What is 5³? =
  28. 28.Which of these is a perfect cube? (a) 216 (b) 317 (c) 260
  29. 29.Which of these is a perfect cube? (a) 2225 (b) 2348 (c) 2197
  30. 30.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  31. 31.Which of these is a perfect cube? (a) 563 (b) 525 (c) 512
  32. 32.What is ∛1331? =
  33. 33.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  34. 34.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  35. 35.What is 15³? =
  36. 36.What is 6³? =
  37. 37.Which of these is a perfect cube? (a) 3713 (b) 3375 (c) 3879
  38. 38.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.Which of these is a perfect cube? (a) 487 (b) 437 (c) 343
  40. 40.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?

Answer key

  1. 9
  2. 216
  3. 8
  4. 7
  5. 2
  6. 216
  7. 1000
  8. 13
  9. 4
  10. 1728
  11. 6
  12. 10
  13. 6
  14. 1331
  15. 2744
  16. 3
  17. 8000
  18. 64
  19. 64
  20. 729
  21. 4913
  22. 5
  23. 512
  24. 5
  25. 8
  26. 27
  27. 125
  28. 216
  29. 2197
  30. 4
  31. 512
  32. 11
  33. 12
  34. 3
  35. 3375
  36. 216
  37. 3375
  38. 27
  39. 343
  40. 4

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