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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 232 · 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 6³? =
  2. 2.What is 13³? =
  3. 3.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  4. 4.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  5. 5.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  6. 6.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  8. 8.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  9. 9.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛729? =
  11. 11.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  12. 12.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.What is 20³? =
  15. 15.What is ∛3375? =
  16. 16.What is 10³? =
  17. 17.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  20. 20.What is 4³? =
  21. 21.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  23. 23.What is ∛216? =
  24. 24.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  25. 25.What is ∛64? =
  26. 26.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  27. 27.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.What is ∛1728? =
  29. 29.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  30. 30.What is 7³? =
  31. 31.What is ∛8000? =
  32. 32.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  33. 33.What is 15³? =
  34. 34.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛12167? =
  36. 36.What is 19³? =
  37. 37.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  38. 38.Which of these is a perfect cube? (a) 2854 (b) 2744 (c) 3325
  39. 39.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  40. 40.What is the smallest whole number by which 864 must be divided to get a perfect cube?

Answer key

  1. 216
  2. 2197
  3. 17
  4. 14
  5. 15
  6. 64
  7. 25
  8. 5
  9. 6
  10. 9
  11. 7
  12. 8
  13. 27
  14. 8000
  15. 15
  16. 1000
  17. 64
  18. 216
  19. 5
  20. 64
  21. 64
  22. 4
  23. 6
  24. 8
  25. 4
  26. 25
  27. 125
  28. 12
  29. 49
  30. 343
  31. 20
  32. 9
  33. 3375
  34. 19
  35. 23
  36. 6859
  37. 2
  38. 2744
  39. 25
  40. 4

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