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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 927 · 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 16³? =
  2. 2.What is 8³? =
  3. 3.What is 20³? =
  4. 4.Which of these is a perfect cube? (a) 938 (b) 729 (c) 765
  5. 5.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  6. 6.What is 13³? =
  7. 7.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  8. 8.Which of these is a perfect cube? (a) 32 (b) 27 (c) 45
  9. 9.Which of these is a perfect cube? (a) 629 (b) 512 (c) 636
  10. 10.What is ∛13824? =
  11. 11.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  12. 12.Which of these is a perfect cube? (a) 2197 (b) 2651 (c) 2208
  13. 13.What is 2³? =
  14. 14.Which of these is a perfect cube? (a) 3182 (b) 3191 (c) 2744
  15. 15.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.What is ∛729? =
  18. 18.Which of these is a perfect cube? (a) 253 (b) 266 (c) 216
  19. 19.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.What is 11³? =
  21. 21.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  22. 22.What is ∛64? =
  23. 23.What is 18³? =
  24. 24.What is ∛343? =
  25. 25.What is ∛3375? =
  26. 26.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  27. 27.What is ∛8? =
  28. 28.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  29. 29.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  31. 31.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  32. 32.Which of these is a perfect cube? (a) 99 (b) 90 (c) 64
  33. 33.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  34. 34.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛1331? =
  36. 36.What is 5³? =
  37. 37.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  39. 39.What is 3³? =
  40. 40.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

  1. 4096
  2. 512
  3. 8000
  4. 729
  5. 4
  6. 2197
  7. 5
  8. 27
  9. 512
  10. 24
  11. 19
  12. 2197
  13. 8
  14. 2744
  15. 216
  16. 216
  17. 9
  18. 216
  19. 27
  20. 1331
  21. 7
  22. 4
  23. 5832
  24. 7
  25. 15
  26. 12
  27. 2
  28. 8
  29. 27
  30. 5
  31. 15
  32. 64
  33. 18
  34. 20
  35. 11
  36. 125
  37. 8
  38. 49
  39. 27
  40. 8

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