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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 291 · 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) 690 (b) 525 (c) 512
  2. 2.Which of these is a perfect cube? (a) 216 (b) 239 (c) 234
  3. 3.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛15625? =
  5. 5.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.What is ∛5832? =
  7. 7.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 1000 (b) 1220 (c) 1079
  9. 9.What is 3³? =
  10. 10.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  11. 11.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  13. 13.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  14. 14.What is 8³? =
  15. 15.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  16. 16.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.What is ∛4096? =
  18. 18.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  19. 19.What is ∛1728? =
  20. 20.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  21. 21.Which of these is a perfect cube? (a) 79 (b) 95 (c) 64
  22. 22.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  24. 24.What is 11³? =
  25. 25.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.What is ∛125? =
  27. 27.What is 14³? =
  28. 28.Which of these is a perfect cube? (a) 3375 (b) 3746 (c) 3906
  29. 29.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  30. 30.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  31. 31.What is ∛1000? =
  32. 32.What is ∛27? =
  33. 33.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  34. 34.Which of these is a perfect cube? (a) 729 (b) 824 (c) 930
  35. 35.What is ∛9261? =
  36. 36.What is ∛6859? =
  37. 37.Which of these is a perfect cube? (a) 125 (b) 135 (c) 126
  38. 38.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  39. 39.What is 2³? =
  40. 40.What is ∛343? =

Answer key

  1. 512
  2. 216
  3. 10
  4. 25
  5. 8
  6. 18
  7. 8
  8. 1000
  9. 27
  10. 9
  11. 64
  12. 4
  13. 16
  14. 512
  15. 8
  16. 8
  17. 16
  18. 20
  19. 12
  20. 125
  21. 64
  22. 8
  23. 3
  24. 1331
  25. 125
  26. 5
  27. 2744
  28. 3375
  29. 5
  30. 216
  31. 10
  32. 3
  33. 12
  34. 729
  35. 21
  36. 19
  37. 125
  38. 7
  39. 8
  40. 7

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