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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 453 · 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.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  2. 2.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  4. 4.What is 19³? =
  5. 5.What is ∛125? =
  6. 6.What is 3³? =
  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 cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  9. 9.Which of these is a perfect cube? (a) 95 (b) 65 (c) 64
  10. 10.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  11. 11.What is 14³? =
  12. 12.What is ∛4096? =
  13. 13.What is 12³? =
  14. 14.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  16. 16.What is 4³? =
  17. 17.What is 6³? =
  18. 18.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  19. 19.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  20. 20.What is 7³? =
  21. 21.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  22. 22.Which of these is a perfect cube? (a) 1684 (b) 1331 (c) 1551
  23. 23.What is ∛5832? =
  24. 24.What is 5³? =
  25. 25.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 2857 (b) 3154 (c) 2744
  27. 27.What is 8³? =
  28. 28.What is 13³? =
  29. 29.What is ∛1728? =
  30. 30.What is ∛2744? =
  31. 31.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  32. 32.What is ∛216? =
  33. 33.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.What is 15³? =
  36. 36.What is 18³? =
  37. 37.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  38. 38.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  39. 39.What is 20³? =
  40. 40.What is ∛343? =

Answer key

  1. 8
  2. 125
  3. 27
  4. 6859
  5. 5
  6. 27
  7. 125
  8. 10
  9. 64
  10. 3
  11. 2744
  12. 16
  13. 1728
  14. 19
  15. 5
  16. 64
  17. 216
  18. 9
  19. 25
  20. 343
  21. 49
  22. 1331
  23. 18
  24. 125
  25. 49
  26. 2744
  27. 512
  28. 2197
  29. 12
  30. 14
  31. 4
  32. 6
  33. 64
  34. 125
  35. 3375
  36. 5832
  37. 3
  38. 64
  39. 8000
  40. 7

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