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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 215 · 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.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  2. 2.What is ∛8? =
  3. 3.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  5. 5.Which of these is a perfect cube? (a) 2744 (b) 2894 (c) 2939
  6. 6.Which of these is a perfect cube? (a) 105 (b) 68 (c) 64
  7. 7.What is ∛2197? =
  8. 8.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.What is 2³? =
  10. 10.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  11. 11.What is 4³? =
  12. 12.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  13. 13.What is 8³? =
  14. 14.What is ∛1728? =
  15. 15.What is ∛64? =
  16. 16.What is 5³? =
  17. 17.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  18. 18.Which of these is a perfect cube? (a) 3621 (b) 3375 (c) 4009
  19. 19.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  21. 21.What is 3³? =
  22. 22.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.Which of these is a perfect cube? (a) 54 (b) 29 (c) 27
  24. 24.What is ∛12167? =
  25. 25.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.What is 13³? =
  27. 27.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  28. 28.What is 9³? =
  29. 29.Which of these is a perfect cube? (a) 1728 (b) 1834 (c) 1736
  30. 30.What is ∛9261? =
  31. 31.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  32. 32.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  33. 33.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is ∛729? =
  35. 35.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  37. 37.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  38. 38.Which of these is a perfect cube? (a) 306 (b) 235 (c) 216
  39. 39.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  40. 40.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?

Answer key

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

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