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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 769 · 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 16³? =
  2. 2.What is the smallest whole number by which 32 must be divided 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.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  5. 5.What is 8³? =
  6. 6.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.What is 3³? =
  8. 8.What is 12³? =
  9. 9.Which of these is a perfect cube? (a) 27 (b) 32 (c) 43
  10. 10.What is 19³? =
  11. 11.What is 6³? =
  12. 12.What is 20³? =
  13. 13.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  15. 15.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  17. 17.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  18. 18.What is ∛343? =
  19. 19.What is ∛4096? =
  20. 20.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  24. 24.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.What is 13³? =
  26. 26.What is ∛1331? =
  27. 27.What is ∛4913? =
  28. 28.What is ∛10648? =
  29. 29.What is 4³? =
  30. 30.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  31. 31.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 854 (b) 784 (c) 729
  33. 33.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 185 (b) 177 (c) 125
  35. 35.Which of these is a perfect cube? (a) 2197 (b) 2455 (c) 2241
  36. 36.What is ∛8000? =
  37. 37.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  38. 38.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.What is 17³? =
  40. 40.What is ∛2197? =

Answer key

  1. 4096
  2. 4
  3. 8
  4. 15
  5. 512
  6. 27
  7. 27
  8. 1728
  9. 27
  10. 6859
  11. 216
  12. 8000
  13. 19
  14. 3
  15. 125
  16. 2
  17. 13
  18. 7
  19. 16
  20. 5
  21. 64
  22. 8
  23. 18
  24. 8
  25. 2197
  26. 11
  27. 17
  28. 22
  29. 64
  30. 25
  31. 4
  32. 729
  33. 3
  34. 125
  35. 2197
  36. 20
  37. 3
  38. 64
  39. 4913
  40. 13

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