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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 604 · 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) 324 (b) 251 (c) 216
  2. 2.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  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 the smallest whole number by which 1125 must be divided to get a perfect cube?
  5. 5.What is ∛13824? =
  6. 6.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  8. 8.What is ∛6859? =
  9. 9.What is ∛27? =
  10. 10.What is 7³? =
  11. 11.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛216? =
  13. 13.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  14. 14.What is ∛343? =
  15. 15.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  16. 16.Which of these is a perfect cube? (a) 2502 (b) 2489 (c) 2197
  17. 17.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  18. 18.What is 13³? =
  19. 19.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  20. 20.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  21. 21.What is ∛1728? =
  22. 22.What is ∛4096? =
  23. 23.What is 8³? =
  24. 24.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  25. 25.What is 18³? =
  26. 26.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  27. 27.What is ∛8000? =
  28. 28.Which of these is a perfect cube? (a) 3094 (b) 2744 (c) 2779
  29. 29.What is 17³? =
  30. 30.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  31. 31.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.What is ∛3375? =
  33. 33.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  34. 34.Which of these is a perfect cube? (a) 1000 (b) 1133 (c) 1022
  35. 35.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  36. 36.What is 5³? =
  37. 37.What is 19³? =
  38. 38.What is ∛8? =
  39. 39.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  40. 40.What is the smallest whole number by which 40 must be divided to get a perfect cube?

Answer key

  1. 216
  2. 2
  3. 8
  4. 9
  5. 24
  6. 125
  7. 5
  8. 19
  9. 3
  10. 343
  11. 18
  12. 6
  13. 7
  14. 7
  15. 7
  16. 2197
  17. 2
  18. 2197
  19. 3
  20. 9
  21. 12
  22. 16
  23. 512
  24. 5
  25. 5832
  26. 49
  27. 20
  28. 2744
  29. 4913
  30. 3
  31. 64
  32. 15
  33. 16
  34. 1000
  35. 5
  36. 125
  37. 6859
  38. 2
  39. 4
  40. 5

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