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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 97 · 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 cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛4913? =
  3. 3.What is 17³? =
  4. 4.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  6. 6.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  7. 7.What is ∛64? =
  8. 8.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.What is ∛27? =
  10. 10.What is 4³? =
  11. 11.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.What is 2³? =
  13. 13.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  14. 14.What is ∛8000? =
  15. 15.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  16. 16.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  17. 17.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.Which of these is a perfect cube? (a) 125 (b) 184 (c) 193
  19. 19.What is 20³? =
  20. 20.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  21. 21.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  22. 22.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  23. 23.What is ∛343? =
  24. 24.Which of these is a perfect cube? (a) 76 (b) 64 (c) 84
  25. 25.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  27. 27.Which of these is a perfect cube? (a) 1741 (b) 1728 (c) 1854
  28. 28.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  29. 29.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  30. 30.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 2197 (b) 2224 (c) 2440
  32. 32.What is 3³? =
  33. 33.What is 13³? =
  34. 34.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.What is ∛9261? =
  36. 36.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  37. 37.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.What is ∛4096? =
  39. 39.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  40. 40.What is 10³? =

Answer key

  1. 8
  2. 17
  3. 4913
  4. 64
  5. 7
  6. 3
  7. 4
  8. 27
  9. 3
  10. 64
  11. 125
  12. 8
  13. 17
  14. 20
  15. 3
  16. 9
  17. 27
  18. 125
  19. 8000
  20. 2
  21. 3
  22. 25
  23. 7
  24. 64
  25. 216
  26. 49
  27. 1728
  28. 12
  29. 3
  30. 216
  31. 2197
  32. 27
  33. 2197
  34. 216
  35. 21
  36. 4
  37. 64
  38. 16
  39. 20
  40. 1000

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