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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 969 · 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 cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  2. 2.Which of these is a perfect cube? (a) 216 (b) 318 (c) 319
  3. 3.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  4. 4.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  5. 5.Which of these is a perfect cube? (a) 45 (b) 27 (c) 52
  6. 6.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 1199 (b) 1166 (c) 1000
  9. 9.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛3375? =
  11. 11.What is 8³? =
  12. 12.Which of these is a perfect cube? (a) 2767 (b) 3246 (c) 2744
  13. 13.What is 10³? =
  14. 14.Which of these is a perfect cube? (a) 1331 (b) 1593 (c) 1357
  15. 15.What is ∛6859? =
  16. 16.What is ∛2197? =
  17. 17.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  18. 18.What is 4³? =
  19. 19.What is 18³? =
  20. 20.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  21. 21.What is 12³? =
  22. 22.Which of these is a perfect cube? (a) 729 (b) 798 (c) 889
  23. 23.What is ∛1331? =
  24. 24.What is ∛8000? =
  25. 25.What is ∛512? =
  26. 26.Which of these is a perfect cube? (a) 78 (b) 89 (c) 64
  27. 27.What is 2³? =
  28. 28.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.What is 6³? =
  30. 30.What is 20³? =
  31. 31.What is 19³? =
  32. 32.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  33. 33.What is ∛4096? =
  34. 34.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  35. 35.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.What is 16³? =
  37. 37.What is ∛1728? =
  38. 38.Which of these is a perfect cube? (a) 125 (b) 196 (c) 169
  39. 39.What is ∛8? =
  40. 40.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 17
  2. 216
  3. 8
  4. 2
  5. 27
  6. 216
  7. 27
  8. 1000
  9. 20
  10. 15
  11. 512
  12. 2744
  13. 1000
  14. 1331
  15. 19
  16. 13
  17. 49
  18. 64
  19. 5832
  20. 5
  21. 1728
  22. 729
  23. 11
  24. 20
  25. 8
  26. 64
  27. 8
  28. 8
  29. 216
  30. 8000
  31. 6859
  32. 11
  33. 16
  34. 12
  35. 216
  36. 4096
  37. 12
  38. 125
  39. 2
  40. 27

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