← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 593 · 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.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  2. 2.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  3. 3.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  4. 4.What is 5³? =
  5. 5.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  6. 6.Which of these is a perfect cube? (a) 64 (b) 104 (c) 79
  7. 7.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  8. 8.What is 6³? =
  9. 9.What is ∛216? =
  10. 10.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  13. 13.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.What is 3³? =
  15. 15.What is 18³? =
  16. 16.What is 17³? =
  17. 17.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  18. 18.Which of these is a perfect cube? (a) 2930 (b) 2934 (c) 2744
  19. 19.What is ∛729? =
  20. 20.What is 20³? =
  21. 21.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  22. 22.A big cube of edge 9 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) 220 (b) 216 (c) 274
  24. 24.What is 15³? =
  25. 25.Which of these is a perfect cube? (a) 53 (b) 30 (c) 27
  26. 26.Which of these is a perfect cube? (a) 1213 (b) 1045 (c) 1000
  27. 27.What is ∛3375? =
  28. 28.What is ∛10648? =
  29. 29.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  30. 30.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  31. 31.What is ∛4096? =
  32. 32.What is ∛9261? =
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  35. 35.What is ∛5832? =
  36. 36.Which of these is a perfect cube? (a) 2253 (b) 2197 (c) 2275
  37. 37.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  38. 38.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  39. 39.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  40. 40.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?

Answer key

  1. 8
  2. 2
  3. 11
  4. 125
  5. 3
  6. 64
  7. 9
  8. 216
  9. 6
  10. 5
  11. 8
  12. 49
  13. 8
  14. 27
  15. 5832
  16. 4913
  17. 4
  18. 2744
  19. 9
  20. 8000
  21. 10
  22. 27
  23. 216
  24. 3375
  25. 27
  26. 1000
  27. 15
  28. 22
  29. 9
  30. 12
  31. 16
  32. 21
  33. 216
  34. 2
  35. 18
  36. 2197
  37. 19
  38. 25
  39. 7
  40. 3

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