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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 230 · 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 3³? =
  2. 2.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  4. 4.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  5. 5.What is 11³? =
  6. 6.What is ∛64? =
  7. 7.What is 2³? =
  8. 8.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  9. 9.What is ∛2197? =
  10. 10.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  11. 11.What is ∛12167? =
  12. 12.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  15. 15.Which of these is a perfect cube? (a) 2418 (b) 2197 (c) 2683
  16. 16.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  17. 17.What is 7³? =
  18. 18.What is 6³? =
  19. 19.What is ∛9261? =
  20. 20.What is 12³? =
  21. 21.What is 4³? =
  22. 22.What is 13³? =
  23. 23.Which of these is a perfect cube? (a) 126 (b) 168 (c) 125
  24. 24.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.A big cube of edge 9 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) 1383 (b) 1639 (c) 1331
  27. 27.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  28. 28.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  29. 29.What is ∛13824? =
  30. 30.Which of these is a perfect cube? (a) 2081 (b) 2109 (c) 1728
  31. 31.What is ∛343? =
  32. 32.Which of these is a perfect cube? (a) 2867 (b) 2744 (c) 3105
  33. 33.What is ∛6859? =
  34. 34.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  36. 36.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  37. 37.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.What is 15³? =
  39. 39.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  40. 40.What is the smallest whole number by which 875 must be divided to get a perfect cube?

Answer key

  1. 27
  2. 216
  3. 49
  4. 17
  5. 1331
  6. 4
  7. 8
  8. 4
  9. 13
  10. 25
  11. 23
  12. 11
  13. 27
  14. 64
  15. 2197
  16. 2
  17. 343
  18. 216
  19. 21
  20. 1728
  21. 64
  22. 2197
  23. 125
  24. 64
  25. 27
  26. 1331
  27. 3
  28. 14
  29. 24
  30. 1728
  31. 7
  32. 2744
  33. 19
  34. 27
  35. 25
  36. 49
  37. 64
  38. 3375
  39. 49
  40. 7

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