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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 424 · 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 4³? =
  2. 2.What is ∛10648? =
  3. 3.What is 6³? =
  4. 4.Which of these is a perfect cube? (a) 1207 (b) 1026 (c) 1000
  5. 5.What is 2³? =
  6. 6.What is ∛5832? =
  7. 7.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  8. 8.What is ∛512? =
  9. 9.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.What is 18³? =
  11. 11.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛13824? =
  13. 13.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  14. 14.Which of these is a perfect cube? (a) 3288 (b) 3279 (c) 2744
  15. 15.Which of these is a perfect cube? (a) 729 (b) 960 (c) 795
  16. 16.What is 10³? =
  17. 17.What is 20³? =
  18. 18.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.What is ∛125? =
  20. 20.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  21. 21.What is ∛4096? =
  22. 22.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  23. 23.What is 11³? =
  24. 24.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  25. 25.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.Which of these is a perfect cube? (a) 279 (b) 216 (c) 268
  27. 27.What is ∛3375? =
  28. 28.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  29. 29.Which of these is a perfect cube? (a) 108 (b) 64 (c) 82
  30. 30.What is 17³? =
  31. 31.What is 7³? =
  32. 32.What is ∛729? =
  33. 33.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  34. 34.What is ∛27? =
  35. 35.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.Which of these is a perfect cube? (a) 3829 (b) 3375 (c) 3740
  39. 39.What is ∛1728? =
  40. 40.What is ∛6859? =

Answer key

  1. 64
  2. 22
  3. 216
  4. 1000
  5. 8
  6. 18
  7. 5
  8. 8
  9. 8
  10. 5832
  11. 20
  12. 24
  13. 25
  14. 2744
  15. 729
  16. 1000
  17. 8000
  18. 216
  19. 5
  20. 9
  21. 16
  22. 3
  23. 1331
  24. 2
  25. 216
  26. 216
  27. 15
  28. 8
  29. 64
  30. 4913
  31. 343
  32. 9
  33. 49
  34. 3
  35. 125
  36. 19
  37. 8
  38. 3375
  39. 12
  40. 19

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