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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 245 · 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 9³? =
  2. 2.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  3. 3.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  4. 4.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  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.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.Which of these is a perfect cube? (a) 512 (b) 577 (c) 564
  8. 8.What is 14³? =
  9. 9.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  10. 10.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  12. 12.What is ∛2744? =
  13. 13.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.Which of these is a perfect cube? (a) 217 (b) 320 (c) 216
  15. 15.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  16. 16.A big cube of edge 12 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 4 cm. How many small cubes are there?
  18. 18.What is 20³? =
  19. 19.What is ∛1000? =
  20. 20.What is ∛64? =
  21. 21.What is 12³? =
  22. 22.What is ∛343? =
  23. 23.What is ∛2197? =
  24. 24.Which of these is a perfect cube? (a) 2744 (b) 2990 (c) 2802
  25. 25.What is ∛9261? =
  26. 26.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.What is 3³? =
  28. 28.What is 17³? =
  29. 29.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  30. 30.What is ∛13824? =
  31. 31.What is ∛1331? =
  32. 32.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  33. 33.Which of these is a perfect cube? (a) 2544 (b) 2507 (c) 2197
  34. 34.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  35. 35.What is 6³? =
  36. 36.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  37. 37.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  38. 38.What is 16³? =
  39. 39.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is 13³? =

Answer key

  1. 729
  2. 49
  3. 9
  4. 7
  5. 8
  6. 216
  7. 512
  8. 2744
  9. 8
  10. 64
  11. 3
  12. 14
  13. 125
  14. 216
  15. 13
  16. 64
  17. 8
  18. 8000
  19. 10
  20. 4
  21. 1728
  22. 7
  23. 13
  24. 2744
  25. 21
  26. 216
  27. 27
  28. 4913
  29. 4
  30. 24
  31. 11
  32. 5
  33. 2197
  34. 10
  35. 216
  36. 2
  37. 14
  38. 4096
  39. 27
  40. 2197

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