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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 781 · 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 108 must be divided to get a perfect cube?
  2. 2.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  3. 3.Which of these is a perfect cube? (a) 1907 (b) 1728 (c) 1848
  4. 4.What is 16³? =
  5. 5.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  6. 6.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  7. 7.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  9. 9.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  10. 10.What is 15³? =
  11. 11.What is 4³? =
  12. 12.Which of these is a perfect cube? (a) 3171 (b) 2744 (c) 2942
  13. 13.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  14. 14.What is ∛27? =
  15. 15.What is 6³? =
  16. 16.What is ∛4096? =
  17. 17.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.What is ∛8000? =
  19. 19.What is ∛216? =
  20. 20.What is ∛64? =
  21. 21.What is ∛15625? =
  22. 22.What is 17³? =
  23. 23.What is ∛1331? =
  24. 24.What is 5³? =
  25. 25.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.What is 12³? =
  28. 28.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  29. 29.What is 14³? =
  30. 30.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  31. 31.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 550 (b) 697 (c) 512
  33. 33.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  34. 34.What is ∛512? =
  35. 35.Which of these is a perfect cube? (a) 2197 (b) 2465 (c) 2413
  36. 36.What is ∛13824? =
  37. 37.What is 13³? =
  38. 38.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  39. 39.Which of these is a perfect cube? (a) 4012 (b) 3852 (c) 3375
  40. 40.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?

Answer key

  1. 4
  2. 2
  3. 1728
  4. 4096
  5. 4
  6. 13
  7. 216
  8. 4
  9. 11
  10. 3375
  11. 64
  12. 2744
  13. 6
  14. 3
  15. 216
  16. 16
  17. 27
  18. 20
  19. 6
  20. 4
  21. 25
  22. 4913
  23. 11
  24. 125
  25. 8
  26. 125
  27. 1728
  28. 17
  29. 2744
  30. 4
  31. 3
  32. 512
  33. 3
  34. 8
  35. 2197
  36. 24
  37. 2197
  38. 4
  39. 3375
  40. 7

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