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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 559 · 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 big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  3. 3.What is 17³? =
  4. 4.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  5. 5.What is 8³? =
  6. 6.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  7. 7.What is 15³? =
  8. 8.What is ∛64? =
  9. 9.What is 5³? =
  10. 10.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 2744 (b) 3125 (c) 2852
  13. 13.What is 19³? =
  14. 14.Which of these is a perfect cube? (a) 248 (b) 247 (c) 216
  15. 15.What is ∛9261? =
  16. 16.What is ∛13824? =
  17. 17.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  20. 20.What is ∛8? =
  21. 21.What is 6³? =
  22. 22.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  23. 23.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  24. 24.What is ∛12167? =
  25. 25.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  26. 26.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  27. 27.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.What is ∛6859? =
  29. 29.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.What is 10³? =
  31. 31.Which of these is a perfect cube? (a) 376 (b) 343 (c) 362
  32. 32.What is 13³? =
  33. 33.What is 9³? =
  34. 34.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.Which of these is a perfect cube? (a) 42 (b) 27 (c) 47
  36. 36.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.What is 14³? =
  38. 38.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  39. 39.What is ∛216? =
  40. 40.What is the smallest whole number by which 192 must be divided to get a perfect cube?

Answer key

  1. 216
  2. 64
  3. 4913
  4. 14
  5. 512
  6. 10
  7. 3375
  8. 4
  9. 125
  10. 4
  11. 64
  12. 2744
  13. 6859
  14. 216
  15. 21
  16. 24
  17. 8
  18. 16
  19. 216
  20. 2
  21. 216
  22. 2
  23. 17
  24. 23
  25. 25
  26. 4
  27. 27
  28. 19
  29. 64
  30. 1000
  31. 343
  32. 2197
  33. 729
  34. 8
  35. 27
  36. 216
  37. 2744
  38. 8
  39. 6
  40. 3

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