← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 428 · 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 1331 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛729? =
  3. 3.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  5. 5.Which of these is a perfect cube? (a) 311 (b) 216 (c) 223
  6. 6.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  7. 7.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.What is 5³? =
  9. 9.What is ∛64? =
  10. 10.What is ∛3375? =
  11. 11.What is 3³? =
  12. 12.Which of these is a perfect cube? (a) 128 (b) 136 (c) 125
  13. 13.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.What is ∛1331? =
  16. 16.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  17. 17.What is 16³? =
  18. 18.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.What is 4³? =
  20. 20.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  22. 22.What is 13³? =
  23. 23.What is 2³? =
  24. 24.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  25. 25.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.What is ∛8000? =
  27. 27.Which of these is a perfect cube? (a) 27 (b) 46 (c) 38
  28. 28.What is ∛1728? =
  29. 29.Which of these is a perfect cube? (a) 77 (b) 76 (c) 64
  30. 30.Which of these is a perfect cube? (a) 2621 (b) 2657 (c) 2197
  31. 31.What is ∛9261? =
  32. 32.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  33. 33.What is 7³? =
  34. 34.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.Which of these is a perfect cube? (a) 343 (b) 461 (c) 382
  36. 36.What is ∛13824? =
  37. 37.What is 19³? =
  38. 38.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  39. 39.What is ∛216? =
  40. 40.Which of these is a perfect cube? (a) 512 (b) 535 (c) 627

Answer key

  1. 11
  2. 9
  3. 125
  4. 18
  5. 216
  6. 7
  7. 8
  8. 125
  9. 4
  10. 15
  11. 27
  12. 125
  13. 27
  14. 125
  15. 11
  16. 3
  17. 4096
  18. 8
  19. 64
  20. 16
  21. 8
  22. 2197
  23. 8
  24. 4
  25. 125
  26. 20
  27. 27
  28. 12
  29. 64
  30. 2197
  31. 21
  32. 7
  33. 343
  34. 64
  35. 343
  36. 24
  37. 6859
  38. 2
  39. 6
  40. 512

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