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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 187 · 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 ∛8000? =
  2. 2.What is 8³? =
  3. 3.What is 10³? =
  4. 4.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  5. 5.What is ∛5832? =
  6. 6.Which of these is a perfect cube? (a) 1236 (b) 1087 (c) 1000
  7. 7.What is ∛343? =
  8. 8.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  9. 9.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.What is 3³? =
  11. 11.What is ∛64? =
  12. 12.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  13. 13.What is ∛10648? =
  14. 14.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  15. 15.Which of these is a perfect cube? (a) 2284 (b) 2320 (c) 2197
  16. 16.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  17. 17.What is 13³? =
  18. 18.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  19. 19.Which of these is a perfect cube? (a) 27 (b) 38 (c) 29
  20. 20.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  21. 21.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  22. 22.What is ∛6859? =
  23. 23.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  24. 24.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  25. 25.Which of these is a perfect cube? (a) 1365 (b) 1331 (c) 1677
  26. 26.What is ∛729? =
  27. 27.What is ∛13824? =
  28. 28.Which of these is a perfect cube? (a) 481 (b) 343 (c) 443
  29. 29.What is 19³? =
  30. 30.What is 6³? =
  31. 31.What is 12³? =
  32. 32.Which of these is a perfect cube? (a) 295 (b) 257 (c) 216
  33. 33.What is 5³? =
  34. 34.What is 17³? =
  35. 35.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  36. 36.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  37. 37.Which of these is a perfect cube? (a) 3375 (b) 3458 (c) 3496
  38. 38.What is ∛125? =
  39. 39.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  40. 40.What is ∛4913? =

Answer key

  1. 20
  2. 512
  3. 1000
  4. 2
  5. 18
  6. 1000
  7. 7
  8. 8
  9. 216
  10. 27
  11. 4
  12. 3
  13. 22
  14. 3
  15. 2197
  16. 8
  17. 2197
  18. 2
  19. 27
  20. 7
  21. 2
  22. 19
  23. 7
  24. 5
  25. 1331
  26. 9
  27. 24
  28. 343
  29. 6859
  30. 216
  31. 1728
  32. 216
  33. 125
  34. 4913
  35. 9
  36. 6
  37. 3375
  38. 5
  39. 2
  40. 17

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