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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 370 · 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 14³? =
  3. 3.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  4. 4.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  5. 5.What is ∛2197? =
  6. 6.What is ∛12167? =
  7. 7.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  8. 8.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
  9. 9.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.What is 13³? =
  11. 11.What is 5³? =
  12. 12.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  13. 13.What is 10³? =
  14. 14.What is 16³? =
  15. 15.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  16. 16.Which of these is a perfect cube? (a) 27 (b) 44 (c) 46
  17. 17.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.Which of these is a perfect cube? (a) 2760 (b) 2744 (c) 3156
  19. 19.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  20. 20.What is 8³? =
  21. 21.Which of these is a perfect cube? (a) 144 (b) 173 (c) 125
  22. 22.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  23. 23.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  24. 24.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  25. 25.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  27. 27.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  28. 28.Which of these is a perfect cube? (a) 479 (b) 343 (c) 398
  29. 29.Which of these is a perfect cube? (a) 1597 (b) 1694 (c) 1331
  30. 30.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  32. 32.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.Which of these is a perfect cube? (a) 2473 (b) 2197 (c) 2555
  34. 34.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛125? =
  36. 36.What is ∛512? =
  37. 37.Which of these is a perfect cube? (a) 1834 (b) 1728 (c) 2026
  38. 38.What is 2³? =
  39. 39.What is 18³? =
  40. 40.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?

Answer key

  1. 21
  2. 2744
  3. 12
  4. 10
  5. 13
  6. 23
  7. 13
  8. 25
  9. 64
  10. 2197
  11. 125
  12. 18
  13. 1000
  14. 4096
  15. 125
  16. 27
  17. 125
  18. 2744
  19. 2
  20. 512
  21. 125
  22. 5
  23. 19
  24. 15
  25. 8
  26. 17
  27. 9
  28. 343
  29. 1331
  30. 8
  31. 2
  32. 216
  33. 2197
  34. 5
  35. 5
  36. 8
  37. 1728
  38. 8
  39. 5832
  40. 3

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