← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 568 · 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 ∛15625? =
  2. 2.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  3. 3.What is 10³? =
  4. 4.What is 7³? =
  5. 5.What is 6³? =
  6. 6.Which of these is a perfect cube? (a) 27 (b) 51 (c) 34
  7. 7.What is 5³? =
  8. 8.What is 9³? =
  9. 9.What is ∛125? =
  10. 10.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  11. 11.Which of these is a perfect cube? (a) 512 (b) 693 (c) 701
  12. 12.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  13. 13.What is 14³? =
  14. 14.What is ∛8000? =
  15. 15.Which of these is a perfect cube? (a) 384 (b) 343 (c) 408
  16. 16.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  17. 17.What is ∛512? =
  18. 18.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  20. 20.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  21. 21.What is ∛343? =
  22. 22.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  23. 23.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  24. 24.What is ∛27? =
  25. 25.What is ∛4096? =
  26. 26.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  27. 27.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  28. 28.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  29. 29.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  30. 30.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  31. 31.What is 20³? =
  32. 32.What is ∛8? =
  33. 33.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.What is ∛1728? =
  36. 36.What is ∛729? =
  37. 37.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  38. 38.What is 16³? =
  39. 39.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  40. 40.Which of these is a perfect cube? (a) 125 (b) 192 (c) 129

Answer key

  1. 25
  2. 6
  3. 1000
  4. 343
  5. 216
  6. 27
  7. 125
  8. 729
  9. 5
  10. 125
  11. 512
  12. 9
  13. 2744
  14. 20
  15. 343
  16. 27
  17. 8
  18. 27
  19. 13
  20. 19
  21. 7
  22. 20
  23. 11
  24. 3
  25. 16
  26. 216
  27. 15
  28. 5
  29. 8
  30. 16
  31. 8000
  32. 2
  33. 125
  34. 8
  35. 12
  36. 9
  37. 12
  38. 4096
  39. 4
  40. 125

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