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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 783 · 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 big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.Which of these is a perfect cube? (a) 1801 (b) 2104 (c) 1728
  3. 3.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  4. 4.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  6. 6.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  8. 8.What is 13³? =
  9. 9.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.What is 11³? =
  11. 11.Which of these is a perfect cube? (a) 2284 (b) 2692 (c) 2197
  12. 12.What is 7³? =
  13. 13.What is 5³? =
  14. 14.What is ∛8000? =
  15. 15.What is ∛1331? =
  16. 16.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  19. 19.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  20. 20.What is ∛64? =
  21. 21.What is 9³? =
  22. 22.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  24. 24.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.Which of these is a perfect cube? (a) 34 (b) 41 (c) 27
  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.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  28. 28.Which of these is a perfect cube? (a) 867 (b) 729 (c) 776
  29. 29.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  30. 30.What is ∛12167? =
  31. 31.Which of these is a perfect cube? (a) 64 (b) 67 (c) 66
  32. 32.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  33. 33.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is 14³? =
  35. 35.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  36. 36.What is ∛9261? =
  37. 37.What is ∛343? =
  38. 38.What is ∛6859? =
  39. 39.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  40. 40.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?

Answer key

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

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