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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 633 · 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.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛4096? =
  3. 3.What is 14³? =
  4. 4.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.What is ∛3375? =
  6. 6.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.What is ∛10648? =
  9. 9.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  10. 10.Which of these is a perfect cube? (a) 1000 (b) 1156 (c) 1154
  11. 11.Which of these is a perfect cube? (a) 216 (b) 278 (c) 246
  12. 12.Which of these is a perfect cube? (a) 512 (b) 555 (c) 665
  13. 13.What is ∛1728? =
  14. 14.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  16. 16.Which of these is a perfect cube? (a) 1834 (b) 1728 (c) 2099
  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 the smallest whole number by which 1512 must be divided to get a perfect cube?
  19. 19.Which of these is a perfect cube? (a) 351 (b) 375 (c) 343
  20. 20.What is 2³? =
  21. 21.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  22. 22.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  23. 23.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.Which of these is a perfect cube? (a) 125 (b) 160 (c) 184
  25. 25.Which of these is a perfect cube? (a) 752 (b) 729 (c) 731
  26. 26.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  27. 27.What is ∛1000? =
  28. 28.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  30. 30.What is 8³? =
  31. 31.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  32. 32.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  33. 33.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.What is ∛2744? =
  35. 35.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  36. 36.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛9261? =
  38. 38.What is ∛343? =
  39. 39.What is 15³? =
  40. 40.What is 20³? =

Answer key

  1. 4
  2. 16
  3. 2744
  4. 64
  5. 15
  6. 8
  7. 216
  8. 22
  9. 18
  10. 1000
  11. 216
  12. 512
  13. 12
  14. 8
  15. 19
  16. 1728
  17. 27
  18. 7
  19. 343
  20. 8
  21. 6
  22. 17
  23. 125
  24. 125
  25. 729
  26. 5
  27. 10
  28. 27
  29. 5
  30. 512
  31. 4
  32. 49
  33. 64
  34. 14
  35. 8
  36. 13
  37. 21
  38. 7
  39. 3375
  40. 8000

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