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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 589 · 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 ∛343? =
  2. 2.What is 17³? =
  3. 3.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  6. 6.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  7. 7.Which of these is a perfect cube? (a) 2744 (b) 2942 (c) 2977
  8. 8.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.What is 18³? =
  10. 10.What is 12³? =
  11. 11.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  13. 13.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  14. 14.What is ∛5832? =
  15. 15.Which of these is a perfect cube? (a) 41 (b) 31 (c) 27
  16. 16.What is 4³? =
  17. 17.What is ∛2197? =
  18. 18.What is 3³? =
  19. 19.What is 5³? =
  20. 20.What is ∛125? =
  21. 21.What is ∛2744? =
  22. 22.What is ∛13824? =
  23. 23.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  24. 24.Which of these is a perfect cube? (a) 2585 (b) 2197 (c) 2508
  25. 25.Which of these is a perfect cube? (a) 195 (b) 125 (c) 157
  26. 26.What is ∛64? =
  27. 27.What is ∛1331? =
  28. 28.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  29. 29.What is ∛512? =
  30. 30.What is 14³? =
  31. 31.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.What is 7³? =
  35. 35.What is 8³? =
  36. 36.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  37. 37.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  38. 38.Which of these is a perfect cube? (a) 575 (b) 621 (c) 512
  39. 39.What is ∛729? =
  40. 40.What is ∛27? =

Answer key

  1. 7
  2. 4913
  3. 8
  4. 64
  5. 25
  6. 125
  7. 2744
  8. 64
  9. 5832
  10. 1728
  11. 27
  12. 5
  13. 13
  14. 18
  15. 27
  16. 64
  17. 13
  18. 27
  19. 125
  20. 5
  21. 14
  22. 24
  23. 8
  24. 2197
  25. 125
  26. 4
  27. 11
  28. 49
  29. 8
  30. 2744
  31. 64
  32. 125
  33. 8
  34. 343
  35. 512
  36. 6
  37. 25
  38. 512
  39. 9
  40. 3

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