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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 419 · 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 cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  2. 2.Which of these is a perfect cube? (a) 432 (b) 343 (c) 407
  3. 3.What is 5³? =
  4. 4.Which of these is a perfect cube? (a) 512 (b) 693 (c) 633
  5. 5.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  6. 6.Which of these is a perfect cube? (a) 1011 (b) 1214 (c) 1000
  7. 7.What is ∛3375? =
  8. 8.Which of these is a perfect cube? (a) 64 (b) 112 (c) 83
  9. 9.What is ∛6859? =
  10. 10.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  11. 11.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.What is 13³? =
  13. 13.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.What is 3³? =
  15. 15.What is ∛512? =
  16. 16.What is 6³? =
  17. 17.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.Which of these is a perfect cube? (a) 941 (b) 823 (c) 729
  19. 19.What is ∛9261? =
  20. 20.What is ∛8000? =
  21. 21.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.Which of these is a perfect cube? (a) 3747 (b) 3465 (c) 3375
  23. 23.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  25. 25.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  27. 27.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.What is ∛12167? =
  29. 29.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.What is 14³? =
  31. 31.What is ∛64? =
  32. 32.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  34. 34.What is ∛8? =
  35. 35.What is ∛343? =
  36. 36.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  37. 37.Which of these is a perfect cube? (a) 2091 (b) 1728 (c) 1729
  38. 38.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  39. 39.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is ∛5832? =

Answer key

  1. 7
  2. 343
  3. 125
  4. 512
  5. 9
  6. 1000
  7. 15
  8. 64
  9. 19
  10. 8
  11. 27
  12. 2197
  13. 27
  14. 27
  15. 8
  16. 216
  17. 8
  18. 729
  19. 21
  20. 20
  21. 27
  22. 3375
  23. 64
  24. 15
  25. 125
  26. 3
  27. 64
  28. 23
  29. 27
  30. 2744
  31. 4
  32. 216
  33. 3
  34. 2
  35. 7
  36. 6
  37. 1728
  38. 8
  39. 216
  40. 18

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