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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 828 · 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) 588 (b) 629 (c) 512
  2. 2.What is 13³? =
  3. 3.What is ∛512? =
  4. 4.What is 12³? =
  5. 5.What is 2³? =
  6. 6.Which of these is a perfect cube? (a) 32 (b) 47 (c) 27
  7. 7.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  8. 8.What is 11³? =
  9. 9.What is ∛12167? =
  10. 10.What is ∛8? =
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  12. 12.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  13. 13.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  14. 14.What is ∛4096? =
  15. 15.What is 4³? =
  16. 16.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  17. 17.What is 9³? =
  18. 18.What is ∛3375? =
  19. 19.What is ∛343? =
  20. 20.What is 18³? =
  21. 21.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  22. 22.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.What is ∛1728? =
  25. 25.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  26. 26.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  29. 29.What is 7³? =
  30. 30.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 908 (b) 729 (c) 870
  32. 32.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.What is ∛64? =
  34. 34.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  35. 35.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛9261? =
  38. 38.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?

Answer key

  1. 512
  2. 2197
  3. 8
  4. 1728
  5. 8
  6. 27
  7. 14
  8. 1331
  9. 23
  10. 2
  11. 216
  12. 216
  13. 9
  14. 16
  15. 64
  16. 9
  17. 729
  18. 15
  19. 7
  20. 5832
  21. 2
  22. 125
  23. 125
  24. 12
  25. 25
  26. 125
  27. 64
  28. 2
  29. 343
  30. 64
  31. 729
  32. 8
  33. 4
  34. 11
  35. 64
  36. 10
  37. 21
  38. 64
  39. 27
  40. 12

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