← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 244 · 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 9³? =
  2. 2.What is 13³? =
  3. 3.What is ∛2744? =
  4. 4.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is ∛3375? =
  6. 6.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  8. 8.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  9. 9.What is 4³? =
  10. 10.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  11. 11.Which of these is a perfect cube? (a) 3464 (b) 3375 (c) 3767
  12. 12.What is ∛8000? =
  13. 13.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.What is 10³? =
  16. 16.What is 18³? =
  17. 17.Which of these is a perfect cube? (a) 1289 (b) 1000 (c) 1043
  18. 18.Which of these is a perfect cube? (a) 512 (b) 560 (c) 650
  19. 19.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  20. 20.What is ∛12167? =
  21. 21.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  22. 22.What is ∛1728? =
  23. 23.What is ∛343? =
  24. 24.What is ∛1331? =
  25. 25.What is 17³? =
  26. 26.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  27. 27.Which of these is a perfect cube? (a) 75 (b) 64 (c) 85
  28. 28.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.What is 11³? =
  30. 30.What is 14³? =
  31. 31.What is ∛729? =
  32. 32.What is ∛13824? =
  33. 33.Which of these is a perfect cube? (a) 125 (b) 143 (c) 137
  34. 34.Which of these is a perfect cube? (a) 729 (b) 868 (c) 941
  35. 35.What is 6³? =
  36. 36.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.Which of these is a perfect cube? (a) 2133 (b) 2110 (c) 1728
  38. 38.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  39. 39.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  40. 40.What is ∛15625? =

Answer key

  1. 729
  2. 2197
  3. 14
  4. 64
  5. 15
  6. 10
  7. 4
  8. 2
  9. 64
  10. 5
  11. 3375
  12. 20
  13. 216
  14. 27
  15. 1000
  16. 5832
  17. 1000
  18. 512
  19. 7
  20. 23
  21. 4
  22. 12
  23. 7
  24. 11
  25. 4913
  26. 2
  27. 64
  28. 27
  29. 1331
  30. 2744
  31. 9
  32. 24
  33. 125
  34. 729
  35. 216
  36. 8
  37. 1728
  38. 7
  39. 64
  40. 25

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