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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 483 · 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) 125 (b) 171 (c) 199
  2. 2.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  3. 3.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.What is 7³? =
  5. 5.What is 11³? =
  6. 6.What is 12³? =
  7. 7.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 575 (b) 675 (c) 512
  9. 9.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  10. 10.What is ∛2744? =
  11. 11.Which of these is a perfect cube? (a) 1331 (b) 1650 (c) 1551
  12. 12.What is 6³? =
  13. 13.Which of these is a perfect cube? (a) 358 (b) 410 (c) 343
  14. 14.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  16. 16.What is ∛8? =
  17. 17.What is 3³? =
  18. 18.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.What is ∛15625? =
  21. 21.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.What is ∛4096? =
  23. 23.What is ∛64? =
  24. 24.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  25. 25.Which of these is a perfect cube? (a) 855 (b) 863 (c) 729
  26. 26.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  27. 27.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  28. 28.What is 20³? =
  29. 29.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  30. 30.What is 13³? =
  31. 31.What is ∛3375? =
  32. 32.Which of these is a perfect cube? (a) 76 (b) 64 (c) 87
  33. 33.Which of these is a perfect cube? (a) 239 (b) 244 (c) 216
  34. 34.What is 16³? =
  35. 35.Which of these is a perfect cube? (a) 2417 (b) 2197 (c) 2505
  36. 36.What is 19³? =
  37. 37.What is ∛5832? =
  38. 38.What is ∛6859? =
  39. 39.Which of these is a perfect cube? (a) 3320 (b) 2744 (c) 3107
  40. 40.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?

Answer key

  1. 125
  2. 8
  3. 8
  4. 343
  5. 1331
  6. 1728
  7. 8
  8. 512
  9. 4
  10. 14
  11. 1331
  12. 216
  13. 343
  14. 7
  15. 2
  16. 2
  17. 27
  18. 19
  19. 125
  20. 25
  21. 125
  22. 16
  23. 4
  24. 7
  25. 729
  26. 49
  27. 14
  28. 8000
  29. 49
  30. 2197
  31. 15
  32. 64
  33. 216
  34. 4096
  35. 2197
  36. 6859
  37. 18
  38. 19
  39. 2744
  40. 6

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