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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 504 · 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 1125 must be multiplied to get a perfect cube?
  2. 2.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  3. 3.What is ∛216? =
  4. 4.What is 4³? =
  5. 5.What is 13³? =
  6. 6.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  8. 8.What is 6³? =
  9. 9.Which of these is a perfect cube? (a) 179 (b) 125 (c) 180
  10. 10.What is ∛3375? =
  11. 11.What is ∛1728? =
  12. 12.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  13. 13.Which of these is a perfect cube? (a) 27 (b) 38 (c) 29
  14. 14.What is 15³? =
  15. 15.What is ∛1000? =
  16. 16.Which of these is a perfect cube? (a) 95 (b) 99 (c) 64
  17. 17.What is 2³? =
  18. 18.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  19. 19.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  21. 21.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  22. 22.What is ∛12167? =
  23. 23.What is ∛4913? =
  24. 24.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  25. 25.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  26. 26.What is ∛8000? =
  27. 27.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.What is 3³? =
  30. 30.What is ∛512? =
  31. 31.Which of these is a perfect cube? (a) 1010 (b) 1080 (c) 1000
  32. 32.What is ∛9261? =
  33. 33.What is 14³? =
  34. 34.What is ∛5832? =
  35. 35.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  36. 36.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛13824? =
  38. 38.What is ∛1331? =
  39. 39.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  40. 40.What is ∛8? =

Answer key

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

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