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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 155 · 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 4913 cubic cm. How long is each edge (in cm)?
  2. 2.What is 18³? =
  3. 3.What is ∛343? =
  4. 4.What is ∛729? =
  5. 5.What is 12³? =
  6. 6.Which of these is a perfect cube? (a) 2197 (b) 2374 (c) 2512
  7. 7.What is 15³? =
  8. 8.What is 2³? =
  9. 9.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  10. 10.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  11. 11.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  12. 12.Which of these is a perfect cube? (a) 1511 (b) 1633 (c) 1331
  13. 13.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  14. 14.What is 20³? =
  15. 15.What is 9³? =
  16. 16.What is 11³? =
  17. 17.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  18. 18.What is 4³? =
  19. 19.What is ∛13824? =
  20. 20.What is ∛1728? =
  21. 21.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.Which of these is a perfect cube? (a) 27 (b) 31 (c) 39
  23. 23.What is 8³? =
  24. 24.What is 5³? =
  25. 25.What is ∛4096? =
  26. 26.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.What is ∛8000? =
  28. 28.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  29. 29.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.What is 7³? =
  31. 31.Which of these is a perfect cube? (a) 280 (b) 216 (c) 244
  32. 32.What is 13³? =
  33. 33.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  34. 34.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  35. 35.Which of these is a perfect cube? (a) 548 (b) 512 (c) 566
  36. 36.Which of these is a perfect cube? (a) 2091 (b) 1891 (c) 1728
  37. 37.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  38. 38.Which of these is a perfect cube? (a) 2814 (b) 3228 (c) 2744
  39. 39.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.Which of these is a perfect cube? (a) 3850 (b) 3375 (c) 3543

Answer key

  1. 17
  2. 5832
  3. 7
  4. 9
  5. 1728
  6. 2197
  7. 3375
  8. 8
  9. 216
  10. 10
  11. 3
  12. 1331
  13. 9
  14. 8000
  15. 729
  16. 1331
  17. 20
  18. 64
  19. 24
  20. 12
  21. 8
  22. 27
  23. 512
  24. 125
  25. 16
  26. 64
  27. 20
  28. 13
  29. 216
  30. 343
  31. 216
  32. 2197
  33. 7
  34. 2
  35. 512
  36. 1728
  37. 14
  38. 2744
  39. 27
  40. 3375

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