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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 718 · 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 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  2. 2.A big cube of edge 16 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) 512 (b) 528 (c) 671
  4. 4.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  5. 5.Which of these is a perfect cube? (a) 273 (b) 216 (c) 268
  6. 6.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  7. 7.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  8. 8.What is 15³? =
  9. 9.What is ∛4913? =
  10. 10.What is 12³? =
  11. 11.What is 6³? =
  12. 12.What is ∛1331? =
  13. 13.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  14. 14.What is ∛4096? =
  15. 15.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  16. 16.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.Which of these is a perfect cube? (a) 2570 (b) 2382 (c) 2197
  18. 18.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  19. 19.What is 3³? =
  20. 20.What is ∛5832? =
  21. 21.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  22. 22.What is 18³? =
  23. 23.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.What is ∛9261? =
  25. 25.What is 9³? =
  26. 26.What is 4³? =
  27. 27.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  29. 29.Which of these is a perfect cube? (a) 2744 (b) 3133 (c) 3284
  30. 30.What is 17³? =
  31. 31.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  32. 32.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  33. 33.What is ∛64? =
  34. 34.What is ∛27? =
  35. 35.What is ∛8? =
  36. 36.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  37. 37.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  38. 38.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  39. 39.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  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. 27
  2. 64
  3. 512
  4. 49
  5. 216
  6. 2
  7. 16
  8. 3375
  9. 17
  10. 1728
  11. 216
  12. 11
  13. 4
  14. 16
  15. 2
  16. 8
  17. 2197
  18. 3
  19. 27
  20. 18
  21. 4
  22. 5832
  23. 64
  24. 21
  25. 729
  26. 64
  27. 8
  28. 2
  29. 2744
  30. 4913
  31. 25
  32. 10
  33. 4
  34. 3
  35. 2
  36. 19
  37. 9
  38. 4
  39. 125
  40. 216

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