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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 410 · 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 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  2. 2.What is ∛343? =
  3. 3.What is ∛4913? =
  4. 4.Which of these is a perfect cube? (a) 2105 (b) 1835 (c) 1728
  5. 5.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  6. 6.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.What is 13³? =
  8. 8.What is ∛1000? =
  9. 9.What is 19³? =
  10. 10.Which of these is a perfect cube? (a) 27 (b) 36 (c) 46
  11. 11.What is 6³? =
  12. 12.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.What is ∛8? =
  15. 15.What is 5³? =
  16. 16.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  17. 17.What is ∛125? =
  18. 18.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  19. 19.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.What is ∛9261? =
  21. 21.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  22. 22.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  23. 23.What is 7³? =
  24. 24.Which of these is a perfect cube? (a) 1041 (b) 1000 (c) 1270
  25. 25.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.What is 2³? =
  27. 27.What is 9³? =
  28. 28.What is ∛2744? =
  29. 29.Which of these is a perfect cube? (a) 840 (b) 767 (c) 729
  30. 30.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  31. 31.What is ∛6859? =
  32. 32.Which of these is a perfect cube? (a) 74 (b) 64 (c) 81
  33. 33.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is ∛27? =
  35. 35.What is 18³? =
  36. 36.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  38. 38.What is 3³? =
  39. 39.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is ∛10648? =

Answer key

  1. 8
  2. 7
  3. 17
  4. 1728
  5. 20
  6. 27
  7. 2197
  8. 10
  9. 6859
  10. 27
  11. 216
  12. 49
  13. 27
  14. 2
  15. 125
  16. 27
  17. 5
  18. 3
  19. 64
  20. 21
  21. 14
  22. 13
  23. 343
  24. 1000
  25. 125
  26. 8
  27. 729
  28. 14
  29. 729
  30. 4
  31. 19
  32. 64
  33. 216
  34. 3
  35. 5832
  36. 27
  37. 64
  38. 27
  39. 64
  40. 22

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