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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 51 · 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 5832 cubic cm. How long is each edge (in cm)?
  2. 2.Which of these is a perfect cube? (a) 889 (b) 933 (c) 729
  3. 3.Which of these is a perfect cube? (a) 39 (b) 27 (c) 48
  4. 4.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  6. 6.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  7. 7.What is 8³? =
  8. 8.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  9. 9.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛12167? =
  11. 11.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.What is ∛10648? =
  14. 14.What is ∛2744? =
  15. 15.What is 11³? =
  16. 16.What is ∛9261? =
  17. 17.What is ∛125? =
  18. 18.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  19. 19.A cube has a volume of 1000 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 135 must be multiplied to get a perfect cube?
  22. 22.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  24. 24.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  25. 25.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  26. 26.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  27. 27.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.What is ∛4096? =
  29. 29.What is 10³? =
  30. 30.What is 18³? =
  31. 31.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  33. 33.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  34. 34.What is ∛1728? =
  35. 35.Which of these is a perfect cube? (a) 3967 (b) 4016 (c) 3375
  36. 36.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  37. 37.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  38. 38.What is ∛8000? =
  39. 39.What is 6³? =
  40. 40.What is 19³? =

Answer key

  1. 18
  2. 729
  3. 27
  4. 216
  5. 3
  6. 25
  7. 512
  8. 20
  9. 17
  10. 23
  11. 216
  12. 216
  13. 22
  14. 14
  15. 1331
  16. 21
  17. 5
  18. 4
  19. 10
  20. 64
  21. 25
  22. 125
  23. 5
  24. 25
  25. 216
  26. 19
  27. 8
  28. 16
  29. 1000
  30. 5832
  31. 27
  32. 4
  33. 25
  34. 12
  35. 3375
  36. 8
  37. 49
  38. 20
  39. 216
  40. 6859

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