← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 45 · 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.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.Which of these is a perfect cube? (a) 64 (b) 98 (c) 77
  5. 5.What is ∛12167? =
  6. 6.What is ∛343? =
  7. 7.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  8. 8.What is 11³? =
  9. 9.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  10. 10.What is 13³? =
  11. 11.What is ∛1000? =
  12. 12.Which of these is a perfect cube? (a) 33 (b) 28 (c) 27
  13. 13.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  14. 14.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.Which of these is a perfect cube? (a) 288 (b) 216 (c) 232
  16. 16.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  18. 18.What is 14³? =
  19. 19.What is 5³? =
  20. 20.What is 17³? =
  21. 21.What is ∛3375? =
  22. 22.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.Which of these is a perfect cube? (a) 899 (b) 770 (c) 729
  24. 24.What is 10³? =
  25. 25.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  26. 26.What is 4³? =
  27. 27.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.What is ∛27? =
  29. 29.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  30. 30.What is 20³? =
  31. 31.What is 2³? =
  32. 32.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  33. 33.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  34. 34.What is ∛8000? =
  35. 35.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.What is 18³? =
  37. 37.What is 8³? =
  38. 38.What is ∛512? =
  39. 39.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is 7³? =

Answer key

  1. 25
  2. 6
  3. 8
  4. 64
  5. 23
  6. 7
  7. 11
  8. 1331
  9. 7
  10. 2197
  11. 10
  12. 27
  13. 13
  14. 64
  15. 216
  16. 27
  17. 9
  18. 2744
  19. 125
  20. 4913
  21. 15
  22. 216
  23. 729
  24. 1000
  25. 2
  26. 64
  27. 125
  28. 3
  29. 14
  30. 8000
  31. 8
  32. 3
  33. 7
  34. 20
  35. 27
  36. 5832
  37. 512
  38. 8
  39. 8
  40. 343

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