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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 269 · 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 3³? =
  2. 2.What is ∛216? =
  3. 3.What is 5³? =
  4. 4.Which of these is a perfect cube? (a) 286 (b) 317 (c) 216
  5. 5.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  6. 6.Which of these is a perfect cube? (a) 3470 (b) 3902 (c) 3375
  7. 7.What is ∛125? =
  8. 8.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.What is 19³? =
  10. 10.What is ∛8000? =
  11. 11.What is 18³? =
  12. 12.What is 11³? =
  13. 13.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.What is ∛13824? =
  15. 15.What is ∛343? =
  16. 16.What is ∛27? =
  17. 17.What is ∛3375? =
  18. 18.What is 2³? =
  19. 19.What is ∛9261? =
  20. 20.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  23. 23.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  24. 24.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.What is ∛512? =
  26. 26.What is ∛4096? =
  27. 27.What is 6³? =
  28. 28.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  29. 29.What is ∛729? =
  30. 30.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  31. 31.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  33. 33.Which of these is a perfect cube? (a) 1386 (b) 1674 (c) 1331
  34. 34.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  37. 37.Which of these is a perfect cube? (a) 460 (b) 343 (c) 438
  38. 38.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  40. 40.What is 8³? =

Answer key

  1. 27
  2. 6
  3. 125
  4. 216
  5. 216
  6. 3375
  7. 5
  8. 8
  9. 6859
  10. 20
  11. 5832
  12. 1331
  13. 216
  14. 24
  15. 7
  16. 3
  17. 15
  18. 8
  19. 21
  20. 18
  21. 27
  22. 5
  23. 13
  24. 27
  25. 8
  26. 16
  27. 216
  28. 9
  29. 9
  30. 7
  31. 64
  32. 11
  33. 1331
  34. 125
  35. 27
  36. 49
  37. 343
  38. 216
  39. 6
  40. 512

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