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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 456 · 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 ∛10648? =
  2. 2.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  4. 4.Which of these is a perfect cube? (a) 169 (b) 147 (c) 125
  5. 5.Which of these is a perfect cube? (a) 27 (b) 33 (c) 29
  6. 6.What is 4³? =
  7. 7.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  8. 8.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.Which of these is a perfect cube? (a) 3375 (b) 3679 (c) 3661
  10. 10.What is 11³? =
  11. 11.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.What is 17³? =
  13. 13.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  14. 14.Which of these is a perfect cube? (a) 1660 (b) 1593 (c) 1331
  15. 15.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  16. 16.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  17. 17.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.Which of these is a perfect cube? (a) 64 (b) 88 (c) 92
  20. 20.What is ∛12167? =
  21. 21.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  22. 22.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  24. 24.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  25. 25.Which of these is a perfect cube? (a) 2744 (b) 2915 (c) 3209
  26. 26.What is ∛8000? =
  27. 27.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.What is ∛9261? =
  29. 29.What is 20³? =
  30. 30.Which of these is a perfect cube? (a) 2633 (b) 2453 (c) 2197
  31. 31.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.What is ∛13824? =
  33. 33.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  34. 34.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.What is ∛64? =
  36. 36.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.What is 15³? =
  38. 38.What is 9³? =
  39. 39.What is 2³? =
  40. 40.What is 19³? =

Answer key

  1. 22
  2. 2
  3. 13
  4. 125
  5. 27
  6. 64
  7. 15
  8. 8
  9. 3375
  10. 1331
  11. 8
  12. 4913
  13. 49
  14. 1331
  15. 12
  16. 125
  17. 64
  18. 27
  19. 64
  20. 23
  21. 7
  22. 64
  23. 25
  24. 5
  25. 2744
  26. 20
  27. 125
  28. 21
  29. 8000
  30. 2197
  31. 216
  32. 24
  33. 3
  34. 125
  35. 4
  36. 216
  37. 3375
  38. 729
  39. 8
  40. 6859

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