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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 586 · 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 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  2. 2.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.Which of these is a perfect cube? (a) 2197 (b) 2587 (c) 2491
  5. 5.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  6. 6.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  7. 7.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 729 (b) 819 (c) 824
  9. 9.What is 17³? =
  10. 10.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  12. 12.What is 10³? =
  13. 13.What is ∛10648? =
  14. 14.What is ∛125? =
  15. 15.What is 18³? =
  16. 16.Which of these is a perfect cube? (a) 512 (b) 677 (c) 541
  17. 17.What is 7³? =
  18. 18.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  20. 20.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  21. 21.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  23. 23.What is 19³? =
  24. 24.Which of these is a perfect cube? (a) 2744 (b) 3032 (c) 2777
  25. 25.Which of these is a perfect cube? (a) 355 (b) 343 (c) 459
  26. 26.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  27. 27.What is ∛1728? =
  28. 28.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  29. 29.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  30. 30.What is 8³? =
  31. 31.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is 14³? =
  35. 35.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  36. 36.Which of these is a perfect cube? (a) 216 (b) 231 (c) 257
  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 6³? =
  39. 39.Which of these is a perfect cube? (a) 51 (b) 27 (c) 45
  40. 40.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?

Answer key

  1. 27
  2. 3
  3. 216
  4. 2197
  5. 17
  6. 16
  7. 125
  8. 729
  9. 4913
  10. 19
  11. 27
  12. 1000
  13. 22
  14. 5
  15. 5832
  16. 512
  17. 343
  18. 216
  19. 13
  20. 25
  21. 64
  22. 3
  23. 6859
  24. 2744
  25. 343
  26. 2
  27. 12
  28. 25
  29. 2
  30. 512
  31. 64
  32. 8
  33. 27
  34. 2744
  35. 125
  36. 216
  37. 8
  38. 216
  39. 27
  40. 10

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