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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 508 · 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 cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  2. 2.What is 11³? =
  3. 3.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  4. 4.What is ∛2744? =
  5. 5.What is ∛64? =
  6. 6.What is 9³? =
  7. 7.What is ∛9261? =
  8. 8.What is ∛27? =
  9. 9.What is ∛3375? =
  10. 10.What is 13³? =
  11. 11.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 1073 (b) 1000 (c) 1030
  13. 13.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.What is ∛8000? =
  15. 15.Which of these is a perfect cube? (a) 2320 (b) 2240 (c) 2197
  16. 16.Which of these is a perfect cube? (a) 1780 (b) 1760 (c) 1728
  17. 17.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  18. 18.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  19. 19.What is ∛5832? =
  20. 20.What is ∛10648? =
  21. 21.What is ∛729? =
  22. 22.What is ∛1728? =
  23. 23.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  24. 24.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  25. 25.What is 20³? =
  26. 26.Which of these is a perfect cube? (a) 537 (b) 632 (c) 512
  27. 27.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.What is ∛15625? =
  29. 29.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  30. 30.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  32. 32.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  33. 33.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  34. 34.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.What is ∛512? =
  36. 36.What is 17³? =
  37. 37.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  38. 38.What is 3³? =
  39. 39.What is 7³? =
  40. 40.What is 4³? =

Answer key

  1. 15
  2. 1331
  3. 4
  4. 14
  5. 4
  6. 729
  7. 21
  8. 3
  9. 15
  10. 2197
  11. 216
  12. 1000
  13. 125
  14. 20
  15. 2197
  16. 1728
  17. 5
  18. 4
  19. 18
  20. 22
  21. 9
  22. 12
  23. 10
  24. 3
  25. 8000
  26. 512
  27. 216
  28. 25
  29. 3
  30. 27
  31. 4
  32. 4
  33. 49
  34. 8
  35. 8
  36. 4913
  37. 49
  38. 27
  39. 343
  40. 64

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