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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 976 · 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.Which of these is a perfect cube? (a) 1641 (b) 1575 (c) 1331
  2. 2.Which of these is a perfect cube? (a) 157 (b) 198 (c) 125
  3. 3.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  4. 4.Which of these is a perfect cube? (a) 836 (b) 743 (c) 729
  5. 5.Which of these is a perfect cube? (a) 3034 (b) 2744 (c) 3301
  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.What is ∛512? =
  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 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.What is 4³? =
  11. 11.Which of these is a perfect cube? (a) 2113 (b) 1734 (c) 1728
  12. 12.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  13. 13.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  15. 15.What is 10³? =
  16. 16.What is ∛2197? =
  17. 17.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  18. 18.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  19. 19.What is 13³? =
  20. 20.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  21. 21.What is 16³? =
  22. 22.Which of these is a perfect cube? (a) 408 (b) 386 (c) 343
  23. 23.What is ∛10648? =
  24. 24.What is 6³? =
  25. 25.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  26. 26.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  27. 27.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  28. 28.What is ∛343? =
  29. 29.What is ∛13824? =
  30. 30.A big cube of edge 24 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 54 must be multiplied to get a perfect cube?
  32. 32.What is 2³? =
  33. 33.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  34. 34.What is 7³? =
  35. 35.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  36. 36.What is ∛1728? =
  37. 37.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.What is ∛8? =
  40. 40.What is the smallest whole number by which 108 must be divided to get a perfect cube?

Answer key

  1. 1331
  2. 125
  3. 27
  4. 729
  5. 2744
  6. 216
  7. 8
  8. 27
  9. 8
  10. 64
  11. 1728
  12. 4
  13. 64
  14. 4
  15. 1000
  16. 13
  17. 49
  18. 20
  19. 2197
  20. 14
  21. 4096
  22. 343
  23. 22
  24. 216
  25. 10
  26. 17
  27. 5
  28. 7
  29. 24
  30. 216
  31. 4
  32. 8
  33. 16
  34. 343
  35. 3
  36. 12
  37. 216
  38. 216
  39. 2
  40. 4

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