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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 367 · 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 3 cm. How many small cubes are there?
  2. 2.What is 19³? =
  3. 3.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  4. 4.What is 2³? =
  5. 5.Which of these is a perfect cube? (a) 861 (b) 729 (c) 799
  6. 6.Which of these is a perfect cube? (a) 64 (b) 80 (c) 90
  7. 7.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 27 (b) 39 (c) 31
  9. 9.What is ∛64? =
  10. 10.What is ∛6859? =
  11. 11.What is 17³? =
  12. 12.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  13. 13.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  15. 15.What is ∛27? =
  16. 16.What is 15³? =
  17. 17.What is 7³? =
  18. 18.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  19. 19.What is 10³? =
  20. 20.What is 18³? =
  21. 21.What is ∛4096? =
  22. 22.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.What is ∛5832? =
  24. 24.Which of these is a perfect cube? (a) 2618 (b) 2530 (c) 2197
  25. 25.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  27. 27.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  28. 28.What is ∛512? =
  29. 29.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  30. 30.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  31. 31.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  32. 32.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  33. 33.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.What is ∛1000? =
  36. 36.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  37. 37.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  38. 38.What is 16³? =
  39. 39.What is 9³? =
  40. 40.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?

Answer key

  1. 8
  2. 6859
  3. 5
  4. 8
  5. 729
  6. 64
  7. 27
  8. 27
  9. 4
  10. 19
  11. 4913
  12. 9
  13. 64
  14. 25
  15. 3
  16. 3375
  17. 343
  18. 19
  19. 1000
  20. 5832
  21. 16
  22. 8
  23. 18
  24. 2197
  25. 27
  26. 15
  27. 7
  28. 8
  29. 14
  30. 16
  31. 10
  32. 25
  33. 125
  34. 216
  35. 10
  36. 216
  37. 12
  38. 4096
  39. 729
  40. 4

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