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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 198 · 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.Which of these is a perfect cube? (a) 70 (b) 64 (c) 111
  2. 2.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  3. 3.Which of these is a perfect cube? (a) 3405 (b) 3677 (c) 3375
  4. 4.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.What is ∛2197? =
  6. 6.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  7. 7.What is ∛2744? =
  8. 8.Which of these is a perfect cube? (a) 798 (b) 846 (c) 729
  9. 9.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  10. 10.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  11. 11.What is 2³? =
  12. 12.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  13. 13.What is 13³? =
  14. 14.Which of these is a perfect cube? (a) 675 (b) 512 (c) 667
  15. 15.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  16. 16.What is ∛8000? =
  17. 17.Which of these is a perfect cube? (a) 1331 (b) 1372 (c) 1440
  18. 18.What is 8³? =
  19. 19.What is 17³? =
  20. 20.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  21. 21.What is ∛1728? =
  22. 22.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  24. 24.What is ∛6859? =
  25. 25.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.What is 14³? =
  27. 27.What is 9³? =
  28. 28.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  29. 29.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  30. 30.What is ∛64? =
  31. 31.Which of these is a perfect cube? (a) 3066 (b) 2744 (c) 2996
  32. 32.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  33. 33.What is 18³? =
  34. 34.What is 19³? =
  35. 35.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.What is 11³? =
  37. 37.What is 5³? =
  38. 38.Which of these is a perfect cube? (a) 52 (b) 31 (c) 27
  39. 39.What is ∛4096? =
  40. 40.What is 3³? =

Answer key

  1. 64
  2. 5
  3. 3375
  4. 8
  5. 13
  6. 2
  7. 14
  8. 729
  9. 3
  10. 10
  11. 8
  12. 8
  13. 2197
  14. 512
  15. 216
  16. 20
  17. 1331
  18. 512
  19. 4913
  20. 216
  21. 12
  22. 27
  23. 11
  24. 19
  25. 8
  26. 2744
  27. 729
  28. 2
  29. 18
  30. 4
  31. 2744
  32. 2
  33. 5832
  34. 6859
  35. 216
  36. 1331
  37. 125
  38. 27
  39. 16
  40. 27

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