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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 814 · 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 big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.Which of these is a perfect cube? (a) 220 (b) 216 (c) 282
  3. 3.What is ∛125? =
  4. 4.What is 10³? =
  5. 5.What is 18³? =
  6. 6.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  7. 7.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 50 (b) 39 (c) 27
  9. 9.Which of these is a perfect cube? (a) 172 (b) 139 (c) 125
  10. 10.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.What is ∛2197? =
  12. 12.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  14. 14.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  15. 15.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  17. 17.What is ∛8000? =
  18. 18.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.Which of these is a perfect cube? (a) 4028 (b) 3558 (c) 3375
  20. 20.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  21. 21.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  22. 22.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.What is 9³? =
  24. 24.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  25. 25.What is ∛1331? =
  26. 26.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.What is 7³? =
  28. 28.What is ∛2744? =
  29. 29.What is 2³? =
  30. 30.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  31. 31.What is ∛216? =
  32. 32.What is ∛10648? =
  33. 33.What is ∛12167? =
  34. 34.Which of these is a perfect cube? (a) 2958 (b) 2744 (c) 2796
  35. 35.What is 6³? =
  36. 36.Which of these is a perfect cube? (a) 484 (b) 403 (c) 343
  37. 37.Which of these is a perfect cube? (a) 2033 (b) 1828 (c) 1728
  38. 38.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  39. 39.Which of these is a perfect cube? (a) 512 (b) 594 (c) 637
  40. 40.Which of these is a perfect cube? (a) 64 (b) 77 (c) 100

Answer key

  1. 64
  2. 216
  3. 5
  4. 1000
  5. 5832
  6. 9
  7. 27
  8. 27
  9. 125
  10. 8
  11. 13
  12. 8
  13. 7
  14. 7
  15. 27
  16. 2
  17. 20
  18. 216
  19. 3375
  20. 4
  21. 5
  22. 8
  23. 729
  24. 2
  25. 11
  26. 64
  27. 343
  28. 14
  29. 8
  30. 5
  31. 6
  32. 22
  33. 23
  34. 2744
  35. 216
  36. 343
  37. 1728
  38. 5
  39. 512
  40. 64

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