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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 543 · 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 ∛512? =
  2. 2.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.What is 14³? =
  6. 6.What is 3³? =
  7. 7.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  8. 8.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  9. 9.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  11. 11.What is ∛1000? =
  12. 12.What is ∛6859? =
  13. 13.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  14. 14.Which of these is a perfect cube? (a) 30 (b) 34 (c) 27
  15. 15.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  16. 16.Which of these is a perfect cube? (a) 2744 (b) 3003 (c) 3303
  17. 17.What is ∛3375? =
  18. 18.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.What is ∛15625? =
  20. 20.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  21. 21.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  24. 24.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  25. 25.What is ∛343? =
  26. 26.What is 16³? =
  27. 27.Which of these is a perfect cube? (a) 781 (b) 944 (c) 729
  28. 28.Which of these is a perfect cube? (a) 1000 (b) 1254 (c) 1084
  29. 29.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  30. 30.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  31. 31.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  32. 32.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.What is 13³? =
  35. 35.What is ∛216? =
  36. 36.What is 8³? =
  37. 37.What is ∛8000? =
  38. 38.What is ∛12167? =
  39. 39.What is 10³? =
  40. 40.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 8
  2. 19
  3. 216
  4. 125
  5. 2744
  6. 27
  7. 13
  8. 3
  9. 216
  10. 20
  11. 10
  12. 19
  13. 3
  14. 27
  15. 8
  16. 2744
  17. 15
  18. 27
  19. 25
  20. 49
  21. 216
  22. 8
  23. 17
  24. 12
  25. 7
  26. 4096
  27. 729
  28. 1000
  29. 10
  30. 125
  31. 6
  32. 27
  33. 64
  34. 2197
  35. 6
  36. 512
  37. 20
  38. 23
  39. 1000
  40. 8

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