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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 274 · 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 ∛5832? =
  2. 2.What is 19³? =
  3. 3.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  4. 4.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  5. 5.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.What is ∛6859? =
  7. 7.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  8. 8.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  9. 9.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.What is ∛9261? =
  11. 11.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.What is 10³? =
  14. 14.What is 9³? =
  15. 15.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  16. 16.What is ∛343? =
  17. 17.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.Which of these is a perfect cube? (a) 695 (b) 517 (c) 512
  19. 19.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  20. 20.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  21. 21.What is ∛64? =
  22. 22.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  23. 23.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  24. 24.What is 2³? =
  25. 25.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.Which of these is a perfect cube? (a) 343 (b) 398 (c) 452
  27. 27.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  28. 28.What is ∛8000? =
  29. 29.What is 3³? =
  30. 30.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 3801 (b) 3375 (c) 4030
  32. 32.What is 8³? =
  33. 33.Which of these is a perfect cube? (a) 818 (b) 729 (c) 902
  34. 34.What is 13³? =
  35. 35.Which of these is a perfect cube? (a) 216 (b) 259 (c) 292
  36. 36.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  37. 37.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  38. 38.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  39. 39.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  40. 40.What is ∛12167? =

Answer key

  1. 18
  2. 6859
  3. 15
  4. 4
  5. 27
  6. 19
  7. 2
  8. 7
  9. 216
  10. 21
  11. 8
  12. 27
  13. 1000
  14. 729
  15. 4
  16. 7
  17. 8
  18. 512
  19. 125
  20. 4
  21. 4
  22. 2
  23. 8
  24. 8
  25. 125
  26. 343
  27. 8
  28. 20
  29. 27
  30. 64
  31. 3375
  32. 512
  33. 729
  34. 2197
  35. 216
  36. 14
  37. 16
  38. 49
  39. 9
  40. 23

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