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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 409 · 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 4³? =
  2. 2.What is ∛1000? =
  3. 3.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  5. 5.What is ∛729? =
  6. 6.What is ∛2197? =
  7. 7.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  8. 8.What is ∛4096? =
  9. 9.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  11. 11.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.What is ∛343? =
  13. 13.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  14. 14.What is 3³? =
  15. 15.Which of these is a perfect cube? (a) 2744 (b) 3317 (c) 2989
  16. 16.Which of these is a perfect cube? (a) 2292 (b) 2197 (c) 2530
  17. 17.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  18. 18.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  19. 19.What is 18³? =
  20. 20.Which of these is a perfect cube? (a) 1774 (b) 1749 (c) 1728
  21. 21.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  22. 22.What is 15³? =
  23. 23.What is 2³? =
  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.Which of these is a perfect cube? (a) 36 (b) 27 (c) 53
  26. 26.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  27. 27.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  28. 28.What is 17³? =
  29. 29.What is 20³? =
  30. 30.What is ∛12167? =
  31. 31.Which of these is a perfect cube? (a) 351 (b) 426 (c) 343
  32. 32.What is 10³? =
  33. 33.What is ∛27? =
  34. 34.What is ∛3375? =
  35. 35.What is 19³? =
  36. 36.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  38. 38.What is 8³? =
  39. 39.What is ∛8000? =
  40. 40.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

  1. 64
  2. 10
  3. 27
  4. 10
  5. 9
  6. 13
  7. 6
  8. 16
  9. 64
  10. 9
  11. 125
  12. 7
  13. 4
  14. 27
  15. 2744
  16. 2197
  17. 4
  18. 11
  19. 5832
  20. 1728
  21. 13
  22. 3375
  23. 8
  24. 64
  25. 27
  26. 5
  27. 16
  28. 4913
  29. 8000
  30. 23
  31. 343
  32. 1000
  33. 3
  34. 15
  35. 6859
  36. 64
  37. 5
  38. 512
  39. 20
  40. 125

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