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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 750 · 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 49 must be divided to get a perfect cube?
  2. 2.What is 3³? =
  3. 3.What is 14³? =
  4. 4.What is 17³? =
  5. 5.What is 15³? =
  6. 6.What is ∛4913? =
  7. 7.What is 20³? =
  8. 8.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  9. 9.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  10. 10.What is 10³? =
  11. 11.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛1728? =
  13. 13.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.Which of these is a perfect cube? (a) 1894 (b) 1728 (c) 1910
  15. 15.Which of these is a perfect cube? (a) 1210 (b) 1060 (c) 1000
  16. 16.Which of these is a perfect cube? (a) 76 (b) 64 (c) 66
  17. 17.What is 19³? =
  18. 18.What is 12³? =
  19. 19.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  20. 20.What is 8³? =
  21. 21.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  22. 22.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  23. 23.What is 5³? =
  24. 24.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  25. 25.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  26. 26.What is ∛512? =
  27. 27.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  28. 28.What is ∛2744? =
  29. 29.Which of these is a perfect cube? (a) 166 (b) 125 (c) 157
  30. 30.What is ∛64? =
  31. 31.What is ∛27? =
  32. 32.Which of these is a perfect cube? (a) 3210 (b) 3282 (c) 2744
  33. 33.Which of these is a perfect cube? (a) 538 (b) 554 (c) 512
  34. 34.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  35. 35.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  36. 36.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  37. 37.What is ∛9261? =
  38. 38.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  39. 39.What is 13³? =
  40. 40.What is ∛5832? =

Answer key

  1. 49
  2. 27
  3. 2744
  4. 4913
  5. 3375
  6. 17
  7. 8000
  8. 2
  9. 18
  10. 1000
  11. 4
  12. 12
  13. 125
  14. 1728
  15. 1000
  16. 64
  17. 6859
  18. 1728
  19. 7
  20. 512
  21. 11
  22. 15
  23. 125
  24. 10
  25. 216
  26. 8
  27. 12
  28. 14
  29. 125
  30. 4
  31. 3
  32. 2744
  33. 512
  34. 8
  35. 17
  36. 25
  37. 21
  38. 3
  39. 2197
  40. 18

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