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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 61 · 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 19³? =
  2. 2.What is 2³? =
  3. 3.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.What is 4³? =
  5. 5.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  6. 6.Which of these is a perfect cube? (a) 343 (b) 484 (c) 415
  7. 7.What is 15³? =
  8. 8.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  9. 9.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  10. 10.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  11. 11.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.What is 8³? =
  13. 13.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.What is ∛4096? =
  15. 15.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  16. 16.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 3520 (b) 3375 (c) 3615
  18. 18.Which of these is a perfect cube? (a) 151 (b) 125 (c) 149
  19. 19.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  20. 20.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  21. 21.What is ∛1728? =
  22. 22.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  23. 23.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  24. 24.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.What is 10³? =
  26. 26.What is ∛9261? =
  27. 27.What is ∛1000? =
  28. 28.What is 13³? =
  29. 29.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  31. 31.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 43 (b) 29 (c) 27
  33. 33.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  34. 34.What is ∛125? =
  35. 35.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  36. 36.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛27? =
  38. 38.What is 5³? =
  39. 39.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  40. 40.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?

Answer key

  1. 6859
  2. 8
  3. 64
  4. 64
  5. 13
  6. 343
  7. 3375
  8. 5
  9. 10
  10. 4
  11. 8
  12. 512
  13. 125
  14. 16
  15. 3
  16. 8
  17. 3375
  18. 125
  19. 18
  20. 3
  21. 12
  22. 49
  23. 64
  24. 8
  25. 1000
  26. 21
  27. 10
  28. 2197
  29. 64
  30. 20
  31. 3
  32. 27
  33. 4
  34. 5
  35. 11
  36. 7
  37. 3
  38. 125
  39. 49
  40. 9

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