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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 416 · 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 ∛9261? =
  2. 2.What is ∛27? =
  3. 3.Which of these is a perfect cube? (a) 2197 (b) 2257 (c) 2405
  4. 4.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is ∛1728? =
  6. 6.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.What is ∛1000? =
  8. 8.What is 19³? =
  9. 9.What is ∛8? =
  10. 10.What is 8³? =
  11. 11.What is 9³? =
  12. 12.What is 17³? =
  13. 13.What is ∛6859? =
  14. 14.What is ∛512? =
  15. 15.What is 16³? =
  16. 16.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  17. 17.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  18. 18.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  20. 20.What is ∛2197? =
  21. 21.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  22. 22.Which of these is a perfect cube? (a) 1347 (b) 1649 (c) 1331
  23. 23.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  24. 24.Which of these is a perfect cube? (a) 225 (b) 318 (c) 216
  25. 25.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  26. 26.What is ∛12167? =
  27. 27.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  28. 28.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  30. 30.What is 10³? =
  31. 31.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  32. 32.What is ∛216? =
  33. 33.Which of these is a perfect cube? (a) 1289 (b) 1000 (c) 1295
  34. 34.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  35. 35.What is 7³? =
  36. 36.What is ∛125? =
  37. 37.What is 6³? =
  38. 38.Which of these is a perfect cube? (a) 443 (b) 454 (c) 343
  39. 39.What is 18³? =
  40. 40.Which of these is a perfect cube? (a) 729 (b) 780 (c) 927

Answer key

  1. 21
  2. 3
  3. 2197
  4. 8
  5. 12
  6. 216
  7. 10
  8. 6859
  9. 2
  10. 512
  11. 729
  12. 4913
  13. 19
  14. 8
  15. 4096
  16. 64
  17. 6
  18. 27
  19. 216
  20. 13
  21. 16
  22. 1331
  23. 4
  24. 216
  25. 5
  26. 23
  27. 7
  28. 64
  29. 20
  30. 1000
  31. 9
  32. 6
  33. 1000
  34. 49
  35. 343
  36. 5
  37. 216
  38. 343
  39. 5832
  40. 729

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