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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 803 · 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 ∛8000? =
  2. 2.What is 6³? =
  3. 3.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  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.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  6. 6.What is 12³? =
  7. 7.Which of these is a perfect cube? (a) 27 (b) 40 (c) 48
  8. 8.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  9. 9.What is ∛64? =
  10. 10.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  11. 11.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  12. 12.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  14. 14.What is ∛216? =
  15. 15.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  16. 16.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  17. 17.What is ∛10648? =
  18. 18.What is ∛343? =
  19. 19.What is 14³? =
  20. 20.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  21. 21.What is ∛2197? =
  22. 22.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  23. 23.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  24. 24.What is 5³? =
  25. 25.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  26. 26.What is ∛12167? =
  27. 27.Which of these is a perfect cube? (a) 1000 (b) 1225 (c) 1033
  28. 28.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  29. 29.What is ∛125? =
  30. 30.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  31. 31.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  34. 34.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  35. 35.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  36. 36.A big cube of edge 9 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 675 must be multiplied to get a perfect cube?
  38. 38.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  39. 39.What is 13³? =
  40. 40.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?

Answer key

  1. 20
  2. 216
  3. 2
  4. 216
  5. 5
  6. 1728
  7. 27
  8. 2
  9. 4
  10. 18
  11. 8
  12. 8
  13. 7
  14. 6
  15. 7
  16. 20
  17. 22
  18. 7
  19. 2744
  20. 9
  21. 13
  22. 14
  23. 8
  24. 125
  25. 10
  26. 23
  27. 1000
  28. 7
  29. 5
  30. 3
  31. 216
  32. 125
  33. 9
  34. 4
  35. 6
  36. 27
  37. 5
  38. 27
  39. 2197
  40. 16

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