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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 439 · 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) 37 (b) 41 (c) 27
  2. 2.Which of these is a perfect cube? (a) 97 (b) 64 (c) 77
  3. 3.Which of these is a perfect cube? (a) 2060 (b) 1837 (c) 1728
  4. 4.What is 2³? =
  5. 5.What is 3³? =
  6. 6.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  8. 8.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  9. 9.Which of these is a perfect cube? (a) 248 (b) 216 (c) 234
  10. 10.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  13. 13.What is 7³? =
  14. 14.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  15. 15.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  16. 16.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  18. 18.Which of these is a perfect cube? (a) 2684 (b) 2258 (c) 2197
  19. 19.What is ∛216? =
  20. 20.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  21. 21.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  22. 22.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  24. 24.Which of these is a perfect cube? (a) 512 (b) 681 (c) 537
  25. 25.What is 4³? =
  26. 26.What is 14³? =
  27. 27.What is 16³? =
  28. 28.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.What is 8³? =
  30. 30.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  31. 31.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  33. 33.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  35. 35.What is ∛64? =
  36. 36.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  37. 37.What is ∛9261? =
  38. 38.What is ∛512? =
  39. 39.What is 10³? =
  40. 40.What is ∛2744? =

Answer key

  1. 27
  2. 64
  3. 1728
  4. 8
  5. 27
  6. 64
  7. 5
  8. 3
  9. 216
  10. 2
  11. 125
  12. 49
  13. 343
  14. 3
  15. 5
  16. 64
  17. 6
  18. 2197
  19. 6
  20. 9
  21. 5
  22. 8
  23. 5
  24. 512
  25. 64
  26. 2744
  27. 4096
  28. 216
  29. 512
  30. 10
  31. 8
  32. 25
  33. 9
  34. 2
  35. 4
  36. 216
  37. 21
  38. 8
  39. 1000
  40. 14

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