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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 576 · 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 ∛1331? =
  2. 2.What is 19³? =
  3. 3.Which of these is a perfect cube? (a) 1764 (b) 1728 (c) 1909
  4. 4.What is ∛512? =
  5. 5.What is 17³? =
  6. 6.What is 15³? =
  7. 7.What is 3³? =
  8. 8.Which of these is a perfect cube? (a) 1642 (b) 1342 (c) 1331
  9. 9.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.What is 7³? =
  13. 13.What is ∛6859? =
  14. 14.What is 5³? =
  15. 15.What is ∛10648? =
  16. 16.Which of these is a perfect cube? (a) 29 (b) 27 (c) 44
  17. 17.What is 6³? =
  18. 18.What is ∛2744? =
  19. 19.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  20. 20.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  21. 21.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  22. 22.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  23. 23.What is 4³? =
  24. 24.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  25. 25.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  29. 29.What is 13³? =
  30. 30.What is ∛15625? =
  31. 31.What is 16³? =
  32. 32.What is 2³? =
  33. 33.What is 8³? =
  34. 34.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  35. 35.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  36. 36.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  37. 37.Which of these is a perfect cube? (a) 67 (b) 76 (c) 64
  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.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  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. 11
  2. 6859
  3. 1728
  4. 8
  5. 4913
  6. 3375
  7. 27
  8. 1331
  9. 27
  10. 125
  11. 216
  12. 343
  13. 19
  14. 125
  15. 22
  16. 27
  17. 216
  18. 14
  19. 5
  20. 18
  21. 20
  22. 2
  23. 64
  24. 6
  25. 8
  26. 64
  27. 27
  28. 19
  29. 2197
  30. 25
  31. 4096
  32. 8
  33. 512
  34. 49
  35. 5
  36. 25
  37. 64
  38. 27
  39. 64
  40. 8

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