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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 703 · 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 cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  4. 4.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  5. 5.What is 9³? =
  6. 6.What is ∛9261? =
  7. 7.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  8. 8.What is 5³? =
  9. 9.What is 7³? =
  10. 10.Which of these is a perfect cube? (a) 1740 (b) 1728 (c) 2069
  11. 11.What is ∛13824? =
  12. 12.What is 18³? =
  13. 13.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.What is 10³? =
  15. 15.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  17. 17.Which of these is a perfect cube? (a) 216 (b) 262 (c) 218
  18. 18.What is 3³? =
  19. 19.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  21. 21.What is 17³? =
  22. 22.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  23. 23.What is ∛3375? =
  24. 24.What is ∛125? =
  25. 25.What is ∛343? =
  26. 26.Which of these is a perfect cube? (a) 91 (b) 64 (c) 90
  27. 27.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  28. 28.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  29. 29.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  31. 31.What is ∛729? =
  32. 32.What is 6³? =
  33. 33.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  34. 34.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛2744? =
  36. 36.Which of these is a perfect cube? (a) 343 (b) 345 (c) 410
  37. 37.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  39. 39.What is 16³? =
  40. 40.What is 14³? =

Answer key

  1. 11
  2. 8
  3. 3
  4. 7
  5. 729
  6. 21
  7. 6
  8. 125
  9. 343
  10. 1728
  11. 24
  12. 5832
  13. 27
  14. 1000
  15. 64
  16. 2
  17. 216
  18. 27
  19. 8
  20. 4
  21. 4913
  22. 17
  23. 15
  24. 5
  25. 7
  26. 64
  27. 2
  28. 7
  29. 14
  30. 5
  31. 9
  32. 216
  33. 25
  34. 15
  35. 14
  36. 343
  37. 64
  38. 19
  39. 4096
  40. 2744

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