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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 381 · 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 2744 cubic cm. How long is each edge (in cm)?
  2. 2.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.Which of these is a perfect cube? (a) 64 (b) 92 (c) 68
  4. 4.What is 2³? =
  5. 5.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.Which of these is a perfect cube? (a) 1728 (b) 1972 (c) 1938
  7. 7.Which of these is a perfect cube? (a) 3375 (b) 3429 (c) 3744
  8. 8.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.What is 16³? =
  10. 10.What is ∛13824? =
  11. 11.What is ∛5832? =
  12. 12.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  13. 13.What is 15³? =
  14. 14.Which of these is a perfect cube? (a) 125 (b) 194 (c) 183
  15. 15.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  16. 16.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  17. 17.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.What is 3³? =
  19. 19.Which of these is a perfect cube? (a) 2659 (b) 2236 (c) 2197
  20. 20.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  21. 21.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  22. 22.What is ∛1000? =
  23. 23.Which of these is a perfect cube? (a) 789 (b) 729 (c) 833
  24. 24.What is ∛1728? =
  25. 25.What is ∛9261? =
  26. 26.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.What is ∛4096? =
  28. 28.What is ∛729? =
  29. 29.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  30. 30.What is ∛8? =
  31. 31.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  32. 32.What is ∛64? =
  33. 33.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  34. 34.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  35. 35.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  36. 36.What is 18³? =
  37. 37.What is 11³? =
  38. 38.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  39. 39.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  40. 40.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?

Answer key

  1. 14
  2. 8
  3. 64
  4. 8
  5. 216
  6. 1728
  7. 3375
  8. 125
  9. 4096
  10. 24
  11. 18
  12. 11
  13. 3375
  14. 125
  15. 6
  16. 15
  17. 8
  18. 27
  19. 2197
  20. 19
  21. 4
  22. 10
  23. 729
  24. 12
  25. 21
  26. 125
  27. 16
  28. 9
  29. 125
  30. 2
  31. 5
  32. 4
  33. 9
  34. 4
  35. 5
  36. 5832
  37. 1331
  38. 2
  39. 2
  40. 8

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