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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 529 · 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 cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  2. 2.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  3. 3.Which of these is a perfect cube? (a) 583 (b) 512 (c) 549
  4. 4.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  5. 5.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.What is 4³? =
  7. 7.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  8. 8.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  9. 9.What is 5³? =
  10. 10.What is 8³? =
  11. 11.Which of these is a perfect cube? (a) 130 (b) 137 (c) 125
  12. 12.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  13. 13.Which of these is a perfect cube? (a) 2197 (b) 2617 (c) 2405
  14. 14.What is 2³? =
  15. 15.What is ∛4096? =
  16. 16.What is 20³? =
  17. 17.What is 19³? =
  18. 18.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  19. 19.Which of these is a perfect cube? (a) 1200 (b) 1000 (c) 1073
  20. 20.What is ∛1728? =
  21. 21.What is ∛8000? =
  22. 22.What is ∛9261? =
  23. 23.What is 15³? =
  24. 24.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  27. 27.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.What is ∛10648? =
  29. 29.What is ∛5832? =
  30. 30.What is ∛1331? =
  31. 31.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.Which of these is a perfect cube? (a) 3844 (b) 3790 (c) 3375
  34. 34.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.What is ∛27? =
  36. 36.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  37. 37.Which of these is a perfect cube? (a) 27 (b) 51 (c) 28
  38. 38.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  39. 39.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  40. 40.Which of these is a perfect cube? (a) 3315 (b) 3225 (c) 2744

Answer key

  1. 11
  2. 25
  3. 512
  4. 4
  5. 64
  6. 64
  7. 2
  8. 7
  9. 125
  10. 512
  11. 125
  12. 2
  13. 2197
  14. 8
  15. 16
  16. 8000
  17. 6859
  18. 2
  19. 1000
  20. 12
  21. 20
  22. 21
  23. 3375
  24. 27
  25. 8
  26. 19
  27. 8
  28. 22
  29. 18
  30. 11
  31. 125
  32. 8
  33. 3375
  34. 27
  35. 3
  36. 7
  37. 27
  38. 4
  39. 8
  40. 2744

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