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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 262 · 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 4 must be multiplied to get a perfect cube?
  2. 2.Which of these is a perfect cube? (a) 2197 (b) 2340 (c) 2633
  3. 3.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  7. 7.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  8. 8.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.What is 6³? =
  10. 10.Which of these is a perfect cube? (a) 102 (b) 64 (c) 66
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.What is ∛27? =
  14. 14.What is 15³? =
  15. 15.What is ∛9261? =
  16. 16.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  17. 17.What is 2³? =
  18. 18.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  20. 20.What is 7³? =
  21. 21.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  22. 22.What is ∛64? =
  23. 23.What is 13³? =
  24. 24.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  25. 25.What is 10³? =
  26. 26.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  27. 27.What is ∛4913? =
  28. 28.What is 8³? =
  29. 29.What is 12³? =
  30. 30.Which of these is a perfect cube? (a) 1780 (b) 1728 (c) 1869
  31. 31.What is ∛343? =
  32. 32.What is 19³? =
  33. 33.Which of these is a perfect cube? (a) 2908 (b) 2876 (c) 2744
  34. 34.Which of these is a perfect cube? (a) 671 (b) 652 (c) 512
  35. 35.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  36. 36.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  37. 37.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  38. 38.Which of these is a perfect cube? (a) 216 (b) 221 (c) 319
  39. 39.What is 17³? =
  40. 40.What is 4³? =

Answer key

  1. 2
  2. 2197
  3. 125
  4. 27
  5. 27
  6. 64
  7. 7
  8. 216
  9. 216
  10. 64
  11. 27
  12. 64
  13. 3
  14. 3375
  15. 21
  16. 19
  17. 8
  18. 125
  19. 7
  20. 343
  21. 3
  22. 4
  23. 2197
  24. 15
  25. 1000
  26. 9
  27. 17
  28. 512
  29. 1728
  30. 1728
  31. 7
  32. 6859
  33. 2744
  34. 512
  35. 4
  36. 6
  37. 3
  38. 216
  39. 4913
  40. 64

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