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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 587 · 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 15³? =
  2. 2.What is ∛216? =
  3. 3.What is 20³? =
  4. 4.Which of these is a perfect cube? (a) 67 (b) 64 (c) 101
  5. 5.What is 10³? =
  6. 6.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  8. 8.What is 8³? =
  9. 9.What is ∛3375? =
  10. 10.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  11. 11.Which of these is a perfect cube? (a) 2402 (b) 2197 (c) 2614
  12. 12.What is ∛8000? =
  13. 13.What is 14³? =
  14. 14.What is ∛10648? =
  15. 15.What is ∛343? =
  16. 16.What is 4³? =
  17. 17.What is ∛12167? =
  18. 18.What is ∛4913? =
  19. 19.Which of these is a perfect cube? (a) 465 (b) 475 (c) 343
  20. 20.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  21. 21.What is ∛2744? =
  22. 22.What is 18³? =
  23. 23.Which of these is a perfect cube? (a) 808 (b) 729 (c) 760
  24. 24.Which of these is a perfect cube? (a) 36 (b) 27 (c) 38
  25. 25.What is 3³? =
  26. 26.Which of these is a perfect cube? (a) 1271 (b) 1000 (c) 1188
  27. 27.What is ∛64? =
  28. 28.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  29. 29.Which of these is a perfect cube? (a) 3569 (b) 3876 (c) 3375
  30. 30.Which of these is a perfect cube? (a) 512 (b) 547 (c) 523
  31. 31.What is ∛5832? =
  32. 32.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  33. 33.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  34. 34.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  35. 35.What is 5³? =
  36. 36.What is 12³? =
  37. 37.What is ∛9261? =
  38. 38.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  39. 39.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  40. 40.What is 16³? =

Answer key

  1. 3375
  2. 6
  3. 8000
  4. 64
  5. 1000
  6. 12
  7. 3
  8. 512
  9. 15
  10. 7
  11. 2197
  12. 20
  13. 2744
  14. 22
  15. 7
  16. 64
  17. 23
  18. 17
  19. 343
  20. 5
  21. 14
  22. 5832
  23. 729
  24. 27
  25. 27
  26. 1000
  27. 4
  28. 25
  29. 3375
  30. 512
  31. 18
  32. 20
  33. 27
  34. 4
  35. 125
  36. 1728
  37. 21
  38. 2
  39. 15
  40. 4096

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