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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 885 · 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 11³? =
  2. 2.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  3. 3.Which of these is a perfect cube? (a) 43 (b) 27 (c) 32
  4. 4.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  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.Which of these is a perfect cube? (a) 685 (b) 512 (c) 680
  8. 8.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.Which of these is a perfect cube? (a) 2744 (b) 2772 (c) 2932
  10. 10.What is ∛15625? =
  11. 11.What is 16³? =
  12. 12.What is ∛8? =
  13. 13.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  14. 14.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  15. 15.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 2442 (b) 2598 (c) 2197
  18. 18.What is ∛2744? =
  19. 19.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  23. 23.What is ∛4913? =
  24. 24.What is ∛1331? =
  25. 25.Which of these is a perfect cube? (a) 1000 (b) 1001 (c) 1191
  26. 26.What is 20³? =
  27. 27.Which of these is a perfect cube? (a) 216 (b) 268 (c) 293
  28. 28.What is 4³? =
  29. 29.What is ∛125? =
  30. 30.What is 5³? =
  31. 31.What is 9³? =
  32. 32.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  33. 33.What is ∛4096? =
  34. 34.What is 3³? =
  35. 35.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  36. 36.What is 7³? =
  37. 37.What is ∛512? =
  38. 38.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
  39. 39.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  40. 40.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

  1. 1331
  2. 8
  3. 27
  4. 125
  5. 216
  6. 27
  7. 512
  8. 27
  9. 2744
  10. 25
  11. 4096
  12. 2
  13. 4
  14. 25
  15. 27
  16. 2
  17. 2197
  18. 14
  19. 216
  20. 11
  21. 216
  22. 6
  23. 17
  24. 11
  25. 1000
  26. 8000
  27. 216
  28. 64
  29. 5
  30. 125
  31. 729
  32. 49
  33. 16
  34. 27
  35. 2
  36. 343
  37. 8
  38. 25
  39. 3
  40. 216

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