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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 677 · 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 2³? =
  2. 2.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  3. 3.What is ∛2197? =
  4. 4.Which of these is a perfect cube? (a) 69 (b) 72 (c) 64
  5. 5.What is 14³? =
  6. 6.What is ∛2744? =
  7. 7.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.What is 8³? =
  10. 10.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  11. 11.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.What is 10³? =
  13. 13.What is 13³? =
  14. 14.Which of these is a perfect cube? (a) 3033 (b) 2744 (c) 3106
  15. 15.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  16. 16.Which of these is a perfect cube? (a) 2307 (b) 2418 (c) 2197
  17. 17.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  18. 18.What is ∛12167? =
  19. 19.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  20. 20.Which of these is a perfect cube? (a) 1231 (b) 1185 (c) 1000
  21. 21.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  23. 23.What is 15³? =
  24. 24.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.What is ∛9261? =
  26. 26.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  28. 28.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.What is ∛8000? =
  30. 30.Which of these is a perfect cube? (a) 317 (b) 310 (c) 216
  31. 31.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  32. 32.What is ∛3375? =
  33. 33.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  35. 35.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  36. 36.What is 9³? =
  37. 37.What is ∛4096? =
  38. 38.What is 4³? =
  39. 39.What is ∛125? =
  40. 40.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

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

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