← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 647 · 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.Which of these is a perfect cube? (a) 224 (b) 216 (c) 243
  2. 2.Which of these is a perfect cube? (a) 28 (b) 27 (c) 53
  3. 3.Which of these is a perfect cube? (a) 3112 (b) 2744 (c) 3027
  4. 4.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  5. 5.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  6. 6.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  8. 8.Which of these is a perfect cube? (a) 1591 (b) 1331 (c) 1487
  9. 9.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  10. 10.Which of these is a perfect cube? (a) 147 (b) 167 (c) 125
  11. 11.What is ∛13824? =
  12. 12.What is ∛8000? =
  13. 13.What is ∛4096? =
  14. 14.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  16. 16.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  17. 17.What is 5³? =
  18. 18.What is 10³? =
  19. 19.Which of these is a perfect cube? (a) 2302 (b) 2510 (c) 2197
  20. 20.What is 9³? =
  21. 21.What is ∛125? =
  22. 22.What is ∛8? =
  23. 23.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.What is ∛9261? =
  26. 26.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  27. 27.Which of these is a perfect cube? (a) 3924 (b) 3554 (c) 3375
  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.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  31. 31.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  32. 32.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.What is ∛4913? =
  34. 34.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  35. 35.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  36. 36.What is ∛512? =
  37. 37.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  38. 38.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  39. 39.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  40. 40.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

  1. 216
  2. 27
  3. 2744
  4. 49
  5. 6
  6. 64
  7. 3
  8. 1331
  9. 64
  10. 125
  11. 24
  12. 20
  13. 16
  14. 13
  15. 3
  16. 12
  17. 125
  18. 1000
  19. 2197
  20. 729
  21. 5
  22. 2
  23. 64
  24. 8
  25. 21
  26. 4
  27. 3375
  28. 27
  29. 27
  30. 2
  31. 16
  32. 27
  33. 17
  34. 5
  35. 19
  36. 8
  37. 5
  38. 125
  39. 4
  40. 216

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