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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 368 · 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 ∛2744? =
  2. 2.What is ∛125? =
  3. 3.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  4. 4.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  5. 5.What is ∛2197? =
  6. 6.What is 6³? =
  7. 7.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  8. 8.What is ∛13824? =
  9. 9.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛8000? =
  11. 11.What is ∛6859? =
  12. 12.What is 3³? =
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.What is 4³? =
  15. 15.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  16. 16.What is 5³? =
  17. 17.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  18. 18.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  20. 20.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  21. 21.Which of these is a perfect cube? (a) 1965 (b) 1728 (c) 1818
  22. 22.What is ∛343? =
  23. 23.What is ∛4913? =
  24. 24.What is 10³? =
  25. 25.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  26. 26.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  27. 27.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  29. 29.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  30. 30.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  31. 31.What is ∛27? =
  32. 32.Which of these is a perfect cube? (a) 27 (b) 31 (c) 48
  33. 33.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  34. 34.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  35. 35.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  36. 36.Which of these is a perfect cube? (a) 216 (b) 261 (c) 262
  37. 37.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  38. 38.What is 17³? =
  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 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

Answer key

  1. 14
  2. 5
  3. 3
  4. 5
  5. 13
  6. 216
  7. 5
  8. 24
  9. 4
  10. 20
  11. 19
  12. 27
  13. 27
  14. 64
  15. 7
  16. 125
  17. 3
  18. 2
  19. 64
  20. 13
  21. 1728
  22. 7
  23. 17
  24. 1000
  25. 18
  26. 49
  27. 216
  28. 3
  29. 64
  30. 10
  31. 3
  32. 27
  33. 9
  34. 8
  35. 5
  36. 216
  37. 19
  38. 4913
  39. 64
  40. 216

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