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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 629 · 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) 2197 (b) 2233 (c) 2583
  2. 2.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  3. 3.What is 3³? =
  4. 4.What is ∛27? =
  5. 5.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.What is ∛2744? =
  7. 7.What is ∛8000? =
  8. 8.What is ∛9261? =
  9. 9.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛729? =
  11. 11.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  12. 12.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  13. 13.What is ∛2197? =
  14. 14.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  15. 15.What is ∛125? =
  16. 16.What is ∛15625? =
  17. 17.What is 8³? =
  18. 18.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  20. 20.What is 20³? =
  21. 21.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  22. 22.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.Which of these is a perfect cube? (a) 43 (b) 51 (c) 27
  24. 24.Which of these is a perfect cube? (a) 1000 (b) 1102 (c) 1181
  25. 25.Which of these is a perfect cube? (a) 64 (b) 68 (c) 104
  26. 26.Which of these is a perfect cube? (a) 528 (b) 512 (c) 555
  27. 27.What is 6³? =
  28. 28.What is ∛10648? =
  29. 29.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  30. 30.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  31. 31.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  32. 32.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  33. 33.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  34. 34.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  35. 35.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  37. 37.What is 15³? =
  38. 38.What is ∛512? =
  39. 39.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  40. 40.What is 2³? =

Answer key

  1. 2197
  2. 3
  3. 27
  4. 3
  5. 8
  6. 14
  7. 20
  8. 21
  9. 5
  10. 9
  11. 20
  12. 27
  13. 13
  14. 12
  15. 5
  16. 25
  17. 512
  18. 216
  19. 3
  20. 8000
  21. 2
  22. 64
  23. 27
  24. 1000
  25. 64
  26. 512
  27. 216
  28. 22
  29. 5
  30. 216
  31. 9
  32. 2
  33. 9
  34. 10
  35. 64
  36. 18
  37. 3375
  38. 8
  39. 49
  40. 8

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