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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 171 · 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.Which of these is a perfect cube? (a) 343 (b) 441 (c) 429
  2. 2.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  3. 3.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  4. 4.What is 13³? =
  5. 5.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  6. 6.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  7. 7.What is 6³? =
  8. 8.What is ∛1728? =
  9. 9.Which of these is a perfect cube? (a) 2152 (b) 2099 (c) 1728
  10. 10.What is ∛4096? =
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  12. 12.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  14. 14.Which of these is a perfect cube? (a) 165 (b) 187 (c) 125
  15. 15.What is ∛343? =
  16. 16.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  17. 17.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  18. 18.What is 10³? =
  19. 19.Which of these is a perfect cube? (a) 1000 (b) 1247 (c) 1213
  20. 20.What is 8³? =
  21. 21.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  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 the smallest whole number by which 32 must be multiplied to get a perfect cube?
  24. 24.What is 11³? =
  25. 25.What is 17³? =
  26. 26.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  27. 27.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  28. 28.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  29. 29.Which of these is a perfect cube? (a) 3375 (b) 3461 (c) 3481
  30. 30.What is ∛4913? =
  31. 31.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  32. 32.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  33. 33.What is ∛2197? =
  34. 34.What is 3³? =
  35. 35.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  36. 36.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.What is ∛64? =
  38. 38.Which of these is a perfect cube? (a) 33 (b) 27 (c) 41
  39. 39.Which of these is a perfect cube? (a) 2744 (b) 3131 (c) 3083
  40. 40.What is the smallest whole number by which 24 must be divided to get a perfect cube?

Answer key

  1. 343
  2. 125
  3. 16
  4. 2197
  5. 7
  6. 5
  7. 216
  8. 12
  9. 1728
  10. 16
  11. 216
  12. 8
  13. 2
  14. 125
  15. 7
  16. 20
  17. 49
  18. 1000
  19. 1000
  20. 512
  21. 125
  22. 8
  23. 2
  24. 1331
  25. 4913
  26. 3
  27. 6
  28. 216
  29. 3375
  30. 17
  31. 4
  32. 7
  33. 13
  34. 27
  35. 15
  36. 64
  37. 4
  38. 27
  39. 2744
  40. 3

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