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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 546 · 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.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  3. 3.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  4. 4.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.Which of these is a perfect cube? (a) 2874 (b) 3079 (c) 2744
  6. 6.What is 17³? =
  7. 7.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  8. 8.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.Which of these is a perfect cube? (a) 1407 (b) 1578 (c) 1331
  11. 11.What is 16³? =
  12. 12.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  13. 13.What is 10³? =
  14. 14.What is ∛216? =
  15. 15.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  16. 16.What is ∛729? =
  17. 17.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  18. 18.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  19. 19.Which of these is a perfect cube? (a) 191 (b) 125 (c) 199
  20. 20.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  21. 21.What is 3³? =
  22. 22.What is ∛5832? =
  23. 23.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  24. 24.What is ∛125? =
  25. 25.What is 15³? =
  26. 26.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.What is ∛12167? =
  28. 28.What is 5³? =
  29. 29.What is 9³? =
  30. 30.What is 6³? =
  31. 31.What is 20³? =
  32. 32.What is 2³? =
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  35. 35.Which of these is a perfect cube? (a) 216 (b) 218 (c) 271
  36. 36.Which of these is a perfect cube? (a) 70 (b) 88 (c) 64
  37. 37.Which of these is a perfect cube? (a) 614 (b) 687 (c) 512
  38. 38.What is ∛2197? =
  39. 39.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  40. 40.What is 7³? =

Answer key

  1. 27
  2. 25
  3. 3
  4. 125
  5. 2744
  6. 4913
  7. 18
  8. 27
  9. 64
  10. 1331
  11. 4096
  12. 4
  13. 1000
  14. 6
  15. 5
  16. 9
  17. 3
  18. 9
  19. 125
  20. 8
  21. 27
  22. 18
  23. 125
  24. 5
  25. 3375
  26. 216
  27. 23
  28. 125
  29. 729
  30. 216
  31. 8000
  32. 8
  33. 216
  34. 7
  35. 216
  36. 64
  37. 512
  38. 13
  39. 3
  40. 343

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