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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 660 · 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 ∛64? =
  2. 2.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  4. 4.Which of these is a perfect cube? (a) 1331 (b) 1418 (c) 1588
  5. 5.What is ∛729? =
  6. 6.What is 19³? =
  7. 7.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.What is 11³? =
  9. 9.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  10. 10.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  11. 11.What is 3³? =
  12. 12.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  15. 15.What is 17³? =
  16. 16.Which of these is a perfect cube? (a) 85 (b) 70 (c) 64
  17. 17.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  18. 18.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 2808 (b) 3112 (c) 2744
  21. 21.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.What is 14³? =
  23. 23.What is ∛5832? =
  24. 24.What is 13³? =
  25. 25.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  26. 26.What is ∛4913? =
  27. 27.Which of these is a perfect cube? (a) 432 (b) 343 (c) 359
  28. 28.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  29. 29.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  31. 31.What is 9³? =
  32. 32.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.Which of these is a perfect cube? (a) 2197 (b) 2477 (c) 2332
  34. 34.What is ∛12167? =
  35. 35.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  37. 37.Which of these is a perfect cube? (a) 283 (b) 216 (c) 291
  38. 38.What is ∛125? =
  39. 39.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  40. 40.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?

Answer key

  1. 4
  2. 20
  3. 10
  4. 1331
  5. 9
  6. 6859
  7. 125
  8. 1331
  9. 6
  10. 7
  11. 27
  12. 64
  13. 125
  14. 216
  15. 4913
  16. 64
  17. 9
  18. 16
  19. 27
  20. 2744
  21. 64
  22. 2744
  23. 18
  24. 2197
  25. 7
  26. 17
  27. 343
  28. 5
  29. 8
  30. 25
  31. 729
  32. 64
  33. 2197
  34. 23
  35. 8
  36. 3
  37. 216
  38. 5
  39. 9
  40. 4

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