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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 221 · 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 3³? =
  2. 2.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  3. 3.What is 2³? =
  4. 4.Which of these is a perfect cube? (a) 27 (b) 30 (c) 47
  5. 5.What is 18³? =
  6. 6.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.What is 20³? =
  8. 8.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  9. 9.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  11. 11.What is ∛13824? =
  12. 12.Which of these is a perfect cube? (a) 78 (b) 106 (c) 64
  13. 13.What is ∛1331? =
  14. 14.What is 16³? =
  15. 15.What is ∛2744? =
  16. 16.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  17. 17.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  18. 18.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  19. 19.What is 4³? =
  20. 20.Which of these is a perfect cube? (a) 2060 (b) 1728 (c) 1747
  21. 21.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  22. 22.Which of these is a perfect cube? (a) 2744 (b) 2873 (c) 2772
  23. 23.What is 11³? =
  24. 24.What is ∛64? =
  25. 25.Which of these is a perfect cube? (a) 757 (b) 729 (c) 906
  26. 26.Which of these is a perfect cube? (a) 512 (b) 597 (c) 538
  27. 27.What is ∛8? =
  28. 28.What is ∛5832? =
  29. 29.What is 6³? =
  30. 30.What is ∛15625? =
  31. 31.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  32. 32.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.Which of these is a perfect cube? (a) 385 (b) 432 (c) 343
  34. 34.What is 8³? =
  35. 35.What is ∛4913? =
  36. 36.What is ∛343? =
  37. 37.What is ∛125? =
  38. 38.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  39. 39.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  40. 40.Which of these is a perfect cube? (a) 125 (b) 195 (c) 192

Answer key

  1. 27
  2. 14
  3. 8
  4. 27
  5. 5832
  6. 125
  7. 8000
  8. 49
  9. 27
  10. 2
  11. 24
  12. 64
  13. 11
  14. 4096
  15. 14
  16. 5
  17. 19
  18. 9
  19. 64
  20. 1728
  21. 20
  22. 2744
  23. 1331
  24. 4
  25. 729
  26. 512
  27. 2
  28. 18
  29. 216
  30. 25
  31. 16
  32. 216
  33. 343
  34. 512
  35. 17
  36. 7
  37. 5
  38. 7
  39. 4
  40. 125

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