← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 253 · 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 14³? =
  2. 2.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.Which of these is a perfect cube? (a) 125 (b) 140 (c) 129
  4. 4.What is ∛9261? =
  5. 5.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.What is ∛3375? =
  7. 7.What is ∛216? =
  8. 8.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  9. 9.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.What is ∛10648? =
  11. 11.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 642 (b) 557 (c) 512
  13. 13.Which of these is a perfect cube? (a) 2418 (b) 2583 (c) 2197
  14. 14.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  15. 15.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  16. 16.Which of these is a perfect cube? (a) 2744 (b) 2834 (c) 3326
  17. 17.What is 8³? =
  18. 18.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  19. 19.What is ∛2744? =
  20. 20.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  21. 21.What is 5³? =
  22. 22.What is ∛729? =
  23. 23.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  25. 25.What is 18³? =
  26. 26.Which of these is a perfect cube? (a) 229 (b) 216 (c) 278
  27. 27.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  28. 28.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  29. 29.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  30. 30.What is ∛1331? =
  31. 31.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  32. 32.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  33. 33.Which of these is a perfect cube? (a) 1000 (b) 1267 (c) 1014
  34. 34.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  35. 35.Which of these is a perfect cube? (a) 32 (b) 27 (c) 28
  36. 36.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  37. 37.What is 16³? =
  38. 38.What is ∛4096? =
  39. 39.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

  1. 2744
  2. 8
  3. 125
  4. 21
  5. 216
  6. 15
  7. 6
  8. 3
  9. 125
  10. 22
  11. 64
  12. 512
  13. 2197
  14. 216
  15. 18
  16. 2744
  17. 512
  18. 10
  19. 14
  20. 25
  21. 125
  22. 9
  23. 8
  24. 2
  25. 5832
  26. 216
  27. 2
  28. 20
  29. 2
  30. 11
  31. 27
  32. 4
  33. 1000
  34. 3
  35. 27
  36. 6
  37. 4096
  38. 16
  39. 27
  40. 64

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