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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 544 · 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 ∛125? =
  2. 2.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  3. 3.What is 7³? =
  4. 4.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  5. 5.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  6. 6.Which of these is a perfect cube? (a) 2207 (b) 2197 (c) 2457
  7. 7.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  8. 8.What is ∛4913? =
  9. 9.Which of these is a perfect cube? (a) 343 (b) 381 (c) 481
  10. 10.What is 12³? =
  11. 11.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  12. 12.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  13. 13.What is ∛1000? =
  14. 14.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  15. 15.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  17. 17.What is ∛1728? =
  18. 18.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  19. 19.Which of these is a perfect cube? (a) 64 (b) 72 (c) 78
  20. 20.What is ∛216? =
  21. 21.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  23. 23.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  24. 24.What is ∛13824? =
  25. 25.What is 15³? =
  26. 26.What is ∛8000? =
  27. 27.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.What is ∛64? =
  29. 29.What is 10³? =
  30. 30.What is 2³? =
  31. 31.Which of these is a perfect cube? (a) 3131 (b) 2916 (c) 2744
  32. 32.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  33. 33.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.What is ∛15625? =
  35. 35.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  36. 36.Which of these is a perfect cube? (a) 284 (b) 216 (c) 321
  37. 37.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  38. 38.What is ∛2744? =
  39. 39.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.Which of these is a perfect cube? (a) 699 (b) 512 (c) 544

Answer key

  1. 5
  2. 8
  3. 343
  4. 19
  5. 2
  6. 2197
  7. 6
  8. 17
  9. 343
  10. 1728
  11. 3
  12. 2
  13. 10
  14. 4
  15. 8
  16. 2
  17. 12
  18. 7
  19. 64
  20. 6
  21. 125
  22. 4
  23. 2
  24. 24
  25. 3375
  26. 20
  27. 8
  28. 4
  29. 1000
  30. 8
  31. 2744
  32. 9
  33. 216
  34. 25
  35. 5
  36. 216
  37. 17
  38. 14
  39. 27
  40. 512

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