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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 451 · 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 512 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛343? =
  3. 3.Which of these is a perfect cube? (a) 131 (b) 179 (c) 125
  4. 4.What is 18³? =
  5. 5.What is ∛216? =
  6. 6.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  7. 7.Which of these is a perfect cube? (a) 2744 (b) 2872 (c) 2749
  8. 8.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.What is ∛64? =
  10. 10.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  11. 11.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  12. 12.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  14. 14.What is ∛729? =
  15. 15.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.What is ∛3375? =
  17. 17.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  18. 18.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.What is 12³? =
  21. 21.What is ∛13824? =
  22. 22.What is 5³? =
  23. 23.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  24. 24.What is ∛4913? =
  25. 25.What is 8³? =
  26. 26.What is ∛27? =
  27. 27.What is ∛512? =
  28. 28.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  29. 29.Which of these is a perfect cube? (a) 27 (b) 38 (c) 39
  30. 30.What is 13³? =
  31. 31.What is ∛4096? =
  32. 32.Which of these is a perfect cube? (a) 3375 (b) 4031 (c) 3996
  33. 33.Which of these is a perfect cube? (a) 96 (b) 64 (c) 90
  34. 34.Which of these is a perfect cube? (a) 2443 (b) 2569 (c) 2197
  35. 35.What is 6³? =
  36. 36.What is 10³? =
  37. 37.What is 16³? =
  38. 38.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  39. 39.Which of these is a perfect cube? (a) 920 (b) 909 (c) 729
  40. 40.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 8
  2. 7
  3. 125
  4. 5832
  5. 6
  6. 3
  7. 2744
  8. 8
  9. 4
  10. 49
  11. 4
  12. 19
  13. 4
  14. 9
  15. 64
  16. 15
  17. 25
  18. 20
  19. 64
  20. 1728
  21. 24
  22. 125
  23. 3
  24. 17
  25. 512
  26. 3
  27. 8
  28. 9
  29. 27
  30. 2197
  31. 16
  32. 3375
  33. 64
  34. 2197
  35. 216
  36. 1000
  37. 4096
  38. 4
  39. 729
  40. 27

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