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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 963 · 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 ∛216? =
  2. 2.What is 7³? =
  3. 3.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  4. 4.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  5. 5.What is 17³? =
  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.Which of these is a perfect cube? (a) 729 (b) 772 (c) 863
  8. 8.What is ∛2744? =
  9. 9.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  11. 11.What is ∛12167? =
  12. 12.Which of these is a perfect cube? (a) 1728 (b) 1795 (c) 1729
  13. 13.Which of these is a perfect cube? (a) 485 (b) 343 (c) 347
  14. 14.What is 14³? =
  15. 15.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  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 2³? =
  18. 18.What is ∛729? =
  19. 19.What is 5³? =
  20. 20.What is ∛27? =
  21. 21.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  22. 22.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  24. 24.Which of these is a perfect cube? (a) 3598 (b) 3375 (c) 3408
  25. 25.What is ∛343? =
  26. 26.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.What is 20³? =
  28. 28.What is ∛125? =
  29. 29.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  30. 30.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  31. 31.Which of these is a perfect cube? (a) 512 (b) 562 (c) 652
  32. 32.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  33. 33.What is 9³? =
  34. 34.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  35. 35.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  36. 36.What is 3³? =
  37. 37.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.What is ∛6859? =
  40. 40.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?

Answer key

  1. 6
  2. 343
  3. 4
  4. 2
  5. 4913
  6. 216
  7. 729
  8. 14
  9. 125
  10. 9
  11. 23
  12. 1728
  13. 343
  14. 2744
  15. 9
  16. 8
  17. 8
  18. 9
  19. 125
  20. 3
  21. 3
  22. 216
  23. 2
  24. 3375
  25. 7
  26. 27
  27. 8000
  28. 5
  29. 9
  30. 11
  31. 512
  32. 20
  33. 729
  34. 9
  35. 5
  36. 27
  37. 125
  38. 27
  39. 19
  40. 13

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