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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 723 · 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 6³? =
  2. 2.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  3. 3.Which of these is a perfect cube? (a) 2260 (b) 2478 (c) 2197
  4. 4.What is ∛2197? =
  5. 5.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  6. 6.What is 7³? =
  7. 7.What is ∛10648? =
  8. 8.Which of these is a perfect cube? (a) 3757 (b) 3495 (c) 3375
  9. 9.What is 20³? =
  10. 10.What is 17³? =
  11. 11.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛6859? =
  13. 13.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  14. 14.What is ∛1331? =
  15. 15.What is 18³? =
  16. 16.What is 11³? =
  17. 17.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  18. 18.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  19. 19.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  20. 20.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  21. 21.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  22. 22.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  23. 23.Which of these is a perfect cube? (a) 125 (b) 185 (c) 170
  24. 24.What is 3³? =
  25. 25.What is ∛64? =
  26. 26.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  27. 27.What is 15³? =
  28. 28.What is ∛8? =
  29. 29.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  31. 31.Which of these is a perfect cube? (a) 314 (b) 222 (c) 216
  32. 32.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  33. 33.What is 5³? =
  34. 34.What is 4³? =
  35. 35.What is ∛4096? =
  36. 36.What is 8³? =
  37. 37.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  38. 38.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  39. 39.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  40. 40.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?

Answer key

  1. 216
  2. 7
  3. 2197
  4. 13
  5. 25
  6. 343
  7. 22
  8. 3375
  9. 8000
  10. 4913
  11. 18
  12. 19
  13. 2
  14. 11
  15. 5832
  16. 1331
  17. 7
  18. 4
  19. 13
  20. 64
  21. 9
  22. 4
  23. 125
  24. 27
  25. 4
  26. 6
  27. 3375
  28. 2
  29. 8
  30. 49
  31. 216
  32. 7
  33. 125
  34. 64
  35. 16
  36. 512
  37. 17
  38. 19
  39. 2
  40. 9

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