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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 332 · 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 the smallest whole number by which 864 must be divided to get a perfect cube?
  2. 2.What is 2³? =
  3. 3.Which of these is a perfect cube? (a) 3375 (b) 3530 (c) 3731
  4. 4.Which of these is a perfect cube? (a) 343 (b) 367 (c) 381
  5. 5.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  6. 6.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  7. 7.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  9. 9.Which of these is a perfect cube? (a) 228 (b) 237 (c) 216
  10. 10.A big cube of edge 6 cm is cut into small cubes of edge 2 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 the smallest whole number by which 1323 must be divided to get a perfect cube?
  13. 13.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  14. 14.What is ∛8? =
  15. 15.What is ∛4913? =
  16. 16.What is 17³? =
  17. 17.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  18. 18.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  19. 19.What is ∛729? =
  20. 20.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  21. 21.What is ∛8000? =
  22. 22.What is 3³? =
  23. 23.What is ∛5832? =
  24. 24.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.What is 5³? =
  26. 26.Which of these is a perfect cube? (a) 2197 (b) 2353 (c) 2392
  27. 27.What is 9³? =
  28. 28.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  29. 29.What is ∛512? =
  30. 30.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  31. 31.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  32. 32.What is ∛6859? =
  33. 33.What is 18³? =
  34. 34.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  35. 35.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  36. 36.Which of these is a perfect cube? (a) 1730 (b) 1994 (c) 1728
  37. 37.Which of these is a perfect cube? (a) 108 (b) 64 (c) 66
  38. 38.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.What is ∛2197? =
  40. 40.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?

Answer key

  1. 4
  2. 8
  3. 3375
  4. 343
  5. 25
  6. 8
  7. 216
  8. 14
  9. 216
  10. 27
  11. 27
  12. 49
  13. 5
  14. 2
  15. 17
  16. 4913
  17. 19
  18. 6
  19. 9
  20. 13
  21. 20
  22. 27
  23. 18
  24. 64
  25. 125
  26. 2197
  27. 729
  28. 9
  29. 8
  30. 3
  31. 4
  32. 19
  33. 5832
  34. 12
  35. 9
  36. 1728
  37. 64
  38. 125
  39. 13
  40. 2

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