← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 936 · 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 ∛1000? =
  2. 2.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  3. 3.What is 14³? =
  4. 4.What is 17³? =
  5. 5.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  8. 8.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.What is ∛512? =
  10. 10.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.What is 7³? =
  13. 13.Which of these is a perfect cube? (a) 70 (b) 64 (c) 101
  14. 14.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  15. 15.What is 5³? =
  16. 16.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  17. 17.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  18. 18.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  19. 19.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  21. 21.What is 2³? =
  22. 22.What is ∛4096? =
  23. 23.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  24. 24.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  25. 25.Which of these is a perfect cube? (a) 292 (b) 216 (c) 234
  26. 26.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  27. 27.Which of these is a perfect cube? (a) 464 (b) 343 (c) 416
  28. 28.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  29. 29.What is 16³? =
  30. 30.What is 18³? =
  31. 31.Which of these is a perfect cube? (a) 1000 (b) 1283 (c) 1246
  32. 32.What is 13³? =
  33. 33.What is ∛216? =
  34. 34.What is 3³? =
  35. 35.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  36. 36.What is ∛10648? =
  37. 37.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  38. 38.Which of these is a perfect cube? (a) 729 (b) 866 (c) 930
  39. 39.What is ∛3375? =
  40. 40.What is ∛1331? =

Answer key

  1. 10
  2. 8
  3. 2744
  4. 4913
  5. 125
  6. 125
  7. 20
  8. 8
  9. 8
  10. 4
  11. 216
  12. 343
  13. 64
  14. 9
  15. 125
  16. 2
  17. 4
  18. 4
  19. 64
  20. 216
  21. 8
  22. 16
  23. 49
  24. 18
  25. 216
  26. 19
  27. 343
  28. 27
  29. 4096
  30. 5832
  31. 1000
  32. 2197
  33. 6
  34. 27
  35. 7
  36. 22
  37. 49
  38. 729
  39. 15
  40. 11

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