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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 24 · 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 the smallest whole number by which 864 must be multiplied to get a perfect cube?
  2. 2.Which of these is a perfect cube? (a) 694 (b) 631 (c) 512
  3. 3.Which of these is a perfect cube? (a) 125 (b) 172 (c) 157
  4. 4.What is 16³? =
  5. 5.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  6. 6.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  7. 7.What is 12³? =
  8. 8.What is 15³? =
  9. 9.What is ∛6859? =
  10. 10.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  11. 11.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 420 (b) 343 (c) 425
  13. 13.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  14. 14.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  15. 15.What is ∛4913? =
  16. 16.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  17. 17.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  18. 18.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  19. 19.Which of these is a perfect cube? (a) 87 (b) 64 (c) 75
  20. 20.What is 6³? =
  21. 21.What is ∛2744? =
  22. 22.What is ∛64? =
  23. 23.What is 20³? =
  24. 24.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.Which of these is a perfect cube? (a) 2871 (b) 3318 (c) 2744
  26. 26.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  27. 27.What is ∛343? =
  28. 28.What is 4³? =
  29. 29.What is 2³? =
  30. 30.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  31. 31.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.What is 5³? =
  33. 33.What is 17³? =
  34. 34.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.Which of these is a perfect cube? (a) 1058 (b) 1000 (c) 1195
  36. 36.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  37. 37.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  38. 38.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  39. 39.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.What is the smallest whole number by which 40 must be divided to get a perfect cube?

Answer key

  1. 2
  2. 512
  3. 125
  4. 4096
  5. 2
  6. 125
  7. 1728
  8. 3375
  9. 19
  10. 2
  11. 125
  12. 343
  13. 7
  14. 16
  15. 17
  16. 7
  17. 18
  18. 64
  19. 64
  20. 216
  21. 14
  22. 4
  23. 8000
  24. 8
  25. 2744
  26. 5
  27. 7
  28. 64
  29. 8
  30. 14
  31. 8
  32. 125
  33. 4913
  34. 64
  35. 1000
  36. 4
  37. 9
  38. 9
  39. 64
  40. 5

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