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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 217 · 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 5³? =
  2. 2.What is ∛27? =
  3. 3.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  4. 4.What is 6³? =
  5. 5.Which of these is a perfect cube? (a) 1973 (b) 1924 (c) 1728
  6. 6.What is 10³? =
  7. 7.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.What is 4³? =
  9. 9.What is ∛216? =
  10. 10.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.What is ∛125? =
  12. 12.What is 15³? =
  13. 13.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  14. 14.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  15. 15.What is 9³? =
  16. 16.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  17. 17.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.What is 2³? =
  19. 19.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  20. 20.What is ∛8000? =
  21. 21.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.What is ∛512? =
  23. 23.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  24. 24.What is ∛9261? =
  25. 25.Which of these is a perfect cube? (a) 41 (b) 35 (c) 27
  26. 26.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  27. 27.What is ∛4913? =
  28. 28.Which of these is a perfect cube? (a) 125 (b) 134 (c) 179
  29. 29.Which of these is a perfect cube? (a) 99 (b) 64 (c) 85
  30. 30.What is 18³? =
  31. 31.What is 13³? =
  32. 32.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  34. 34.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  35. 35.What is ∛343? =
  36. 36.Which of these is a perfect cube? (a) 934 (b) 729 (c) 754
  37. 37.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  38. 38.What is ∛2744? =
  39. 39.What is ∛13824? =
  40. 40.Which of these is a perfect cube? (a) 1448 (b) 1503 (c) 1331

Answer key

  1. 125
  2. 3
  3. 6
  4. 216
  5. 1728
  6. 1000
  7. 64
  8. 64
  9. 6
  10. 216
  11. 5
  12. 3375
  13. 12
  14. 216
  15. 729
  16. 8
  17. 64
  18. 8
  19. 10
  20. 20
  21. 64
  22. 8
  23. 5
  24. 21
  25. 27
  26. 125
  27. 17
  28. 125
  29. 64
  30. 5832
  31. 2197
  32. 27
  33. 4
  34. 8
  35. 7
  36. 729
  37. 2
  38. 14
  39. 24
  40. 1331

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