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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 474 · 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.Which of these is a perfect cube? (a) 1099 (b) 1223 (c) 1000
  2. 2.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  3. 3.What is ∛125? =
  4. 4.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  5. 5.Which of these is a perfect cube? (a) 2197 (b) 2337 (c) 2601
  6. 6.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  7. 7.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛343? =
  11. 11.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  12. 12.What is ∛1728? =
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.What is ∛729? =
  15. 15.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  17. 17.What is 7³? =
  18. 18.What is ∛512? =
  19. 19.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  20. 20.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  21. 21.What is ∛4096? =
  22. 22.Which of these is a perfect cube? (a) 3882 (b) 3957 (c) 3375
  23. 23.What is ∛10648? =
  24. 24.What is 16³? =
  25. 25.What is ∛13824? =
  26. 26.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  27. 27.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  28. 28.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  29. 29.What is 10³? =
  30. 30.What is 6³? =
  31. 31.What is 3³? =
  32. 32.A big cube of edge 24 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) 44 (b) 27 (c) 43
  34. 34.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.What is ∛8? =
  37. 37.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  38. 38.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  39. 39.What is ∛15625? =
  40. 40.What is 4³? =

Answer key

  1. 1000
  2. 14
  3. 5
  4. 2
  5. 2197
  6. 18
  7. 8
  8. 64
  9. 5
  10. 7
  11. 9
  12. 12
  13. 27
  14. 9
  15. 216
  16. 49
  17. 343
  18. 8
  19. 12
  20. 6
  21. 16
  22. 3375
  23. 22
  24. 4096
  25. 24
  26. 4
  27. 7
  28. 9
  29. 1000
  30. 216
  31. 27
  32. 216
  33. 27
  34. 64
  35. 64
  36. 2
  37. 2
  38. 25
  39. 25
  40. 64

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