← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 584 · 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 ∛512? =
  2. 2.What is 13³? =
  3. 3.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  4. 4.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  5. 5.What is 17³? =
  6. 6.What is ∛125? =
  7. 7.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  8. 8.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  10. 10.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  11. 11.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 2744 (b) 3304 (c) 2941
  13. 13.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.What is ∛4096? =
  15. 15.What is ∛2744? =
  16. 16.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  17. 17.What is ∛64? =
  18. 18.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  19. 19.What is ∛9261? =
  20. 20.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  21. 21.What is 2³? =
  22. 22.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  23. 23.Which of these is a perfect cube? (a) 277 (b) 216 (c) 319
  24. 24.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.What is ∛343? =
  26. 26.What is ∛8? =
  27. 27.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.What is ∛12167? =
  29. 29.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  30. 30.What is ∛729? =
  31. 31.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 1746 (b) 1845 (c) 1728
  33. 33.What is 11³? =
  34. 34.What is ∛1000? =
  35. 35.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  36. 36.What is 14³? =
  37. 37.Which of these is a perfect cube? (a) 378 (b) 348 (c) 343
  38. 38.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  39. 39.Which of these is a perfect cube? (a) 179 (b) 125 (c) 126
  40. 40.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?

Answer key

  1. 8
  2. 2197
  3. 12
  4. 7
  5. 4913
  6. 5
  7. 6
  8. 27
  9. 9
  10. 49
  11. 27
  12. 2744
  13. 8
  14. 16
  15. 14
  16. 11
  17. 4
  18. 3
  19. 21
  20. 125
  21. 8
  22. 5
  23. 216
  24. 64
  25. 7
  26. 2
  27. 8
  28. 23
  29. 2
  30. 9
  31. 5
  32. 1728
  33. 1331
  34. 10
  35. 2
  36. 2744
  37. 343
  38. 49
  39. 125
  40. 9

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets