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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 897 · 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 13³? =
  2. 2.What is ∛4096? =
  3. 3.What is ∛125? =
  4. 4.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  5. 5.What is ∛1000? =
  6. 6.What is 17³? =
  7. 7.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.What is 3³? =
  10. 10.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  11. 11.Which of these is a perfect cube? (a) 908 (b) 817 (c) 729
  12. 12.What is ∛10648? =
  13. 13.What is 16³? =
  14. 14.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  15. 15.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  16. 16.Which of these is a perfect cube? (a) 153 (b) 125 (c) 149
  17. 17.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.What is 20³? =
  19. 19.What is ∛13824? =
  20. 20.What is 19³? =
  21. 21.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  22. 22.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  23. 23.Which of these is a perfect cube? (a) 243 (b) 216 (c) 309
  24. 24.What is ∛1728? =
  25. 25.What is ∛2197? =
  26. 26.What is ∛15625? =
  27. 27.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  28. 28.Which of these is a perfect cube? (a) 442 (b) 343 (c) 369
  29. 29.What is 8³? =
  30. 30.What is ∛9261? =
  31. 31.Which of these is a perfect cube? (a) 3055 (b) 2744 (c) 3273
  32. 32.What is 18³? =
  33. 33.What is ∛5832? =
  34. 34.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  35. 35.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  36. 36.What is ∛8? =
  37. 37.What is ∛343? =
  38. 38.What is 10³? =
  39. 39.What is ∛4913? =
  40. 40.What is 12³? =

Answer key

  1. 2197
  2. 16
  3. 5
  4. 4
  5. 10
  6. 4913
  7. 125
  8. 64
  9. 27
  10. 5
  11. 729
  12. 22
  13. 4096
  14. 9
  15. 4
  16. 125
  17. 27
  18. 8000
  19. 24
  20. 6859
  21. 9
  22. 3
  23. 216
  24. 12
  25. 13
  26. 25
  27. 7
  28. 343
  29. 512
  30. 21
  31. 2744
  32. 5832
  33. 18
  34. 7
  35. 17
  36. 2
  37. 7
  38. 1000
  39. 17
  40. 1728

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