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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 774 · 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 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.What is 20³? =
  3. 3.What is ∛1728? =
  4. 4.What is ∛216? =
  5. 5.What is 5³? =
  6. 6.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  7. 7.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  8. 8.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  10. 10.What is 6³? =
  11. 11.Which of these is a perfect cube? (a) 375 (b) 343 (c) 400
  12. 12.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  13. 13.What is 3³? =
  14. 14.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  15. 15.Which of these is a perfect cube? (a) 3750 (b) 3375 (c) 3713
  16. 16.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  17. 17.What is 9³? =
  18. 18.What is ∛3375? =
  19. 19.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  20. 20.What is 14³? =
  21. 21.Which of these is a perfect cube? (a) 2197 (b) 2527 (c) 2335
  22. 22.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.What is 10³? =
  24. 24.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  27. 27.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  29. 29.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  31. 31.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  32. 32.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.Which of these is a perfect cube? (a) 865 (b) 729 (c) 900
  34. 34.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  35. 35.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  36. 36.What is 2³? =
  37. 37.What is 7³? =
  38. 38.Which of these is a perfect cube? (a) 1728 (b) 2127 (c) 1785
  39. 39.What is 4³? =
  40. 40.Which of these is a perfect cube? (a) 1484 (b) 1331 (c) 1686

Answer key

  1. 27
  2. 8000
  3. 12
  4. 6
  5. 125
  6. 2
  7. 12
  8. 27
  9. 5
  10. 216
  11. 343
  12. 10
  13. 27
  14. 4
  15. 3375
  16. 9
  17. 729
  18. 15
  19. 15
  20. 2744
  21. 2197
  22. 64
  23. 1000
  24. 64
  25. 8
  26. 19
  27. 8
  28. 4
  29. 8
  30. 3
  31. 13
  32. 27
  33. 729
  34. 17
  35. 18
  36. 8
  37. 343
  38. 1728
  39. 64
  40. 1331

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