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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 464 · 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 ∛27? =
  2. 2.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  3. 3.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  4. 4.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is 2³? =
  6. 6.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  8. 8.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  9. 9.Which of these is a perfect cube? (a) 216 (b) 224 (c) 247
  10. 10.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
  11. 11.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  12. 12.What is ∛4096? =
  13. 13.What is ∛4913? =
  14. 14.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  15. 15.What is 14³? =
  16. 16.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  17. 17.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  18. 18.What is 4³? =
  19. 19.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  20. 20.What is ∛8? =
  21. 21.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  22. 22.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  25. 25.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  26. 26.Which of these is a perfect cube? (a) 343 (b) 345 (c) 354
  27. 27.What is 13³? =
  28. 28.What is 8³? =
  29. 29.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  30. 30.What is 10³? =
  31. 31.What is ∛343? =
  32. 32.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  33. 33.What is 20³? =
  34. 34.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.What is ∛3375? =
  36. 36.Which of these is a perfect cube? (a) 1728 (b) 1739 (c) 1790
  37. 37.What is 12³? =
  38. 38.What is ∛2197? =
  39. 39.What is 3³? =
  40. 40.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?

Answer key

  1. 3
  2. 6
  3. 7
  4. 216
  5. 8
  6. 64
  7. 2
  8. 7
  9. 216
  10. 25
  11. 4
  12. 16
  13. 17
  14. 3
  15. 2744
  16. 18
  17. 49
  18. 64
  19. 9
  20. 2
  21. 7
  22. 216
  23. 27
  24. 15
  25. 125
  26. 343
  27. 2197
  28. 512
  29. 4
  30. 1000
  31. 7
  32. 9
  33. 8000
  34. 27
  35. 15
  36. 1728
  37. 1728
  38. 13
  39. 27
  40. 16

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