← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 899 · 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 9³? =
  2. 2.What is 5³? =
  3. 3.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  4. 4.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  5. 5.Which of these is a perfect cube? (a) 3933 (b) 3375 (c) 3953
  6. 6.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  8. 8.What is 14³? =
  9. 9.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  10. 10.What is ∛64? =
  11. 11.What is ∛6859? =
  12. 12.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.What is 4³? =
  15. 15.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  16. 16.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  17. 17.Which of these is a perfect cube? (a) 89 (b) 106 (c) 64
  18. 18.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  20. 20.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  21. 21.What is 2³? =
  22. 22.Which of these is a perfect cube? (a) 2825 (b) 3124 (c) 2744
  23. 23.Which of these is a perfect cube? (a) 1177 (b) 1000 (c) 1210
  24. 24.Which of these is a perfect cube? (a) 954 (b) 830 (c) 729
  25. 25.What is ∛5832? =
  26. 26.What is ∛4913? =
  27. 27.What is 13³? =
  28. 28.What is 17³? =
  29. 29.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  30. 30.What is 11³? =
  31. 31.What is ∛8? =
  32. 32.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  33. 33.What is ∛2744? =
  34. 34.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  36. 36.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛15625? =
  38. 38.What is 3³? =
  39. 39.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  40. 40.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

Answer key

  1. 729
  2. 125
  3. 11
  4. 7
  5. 3375
  6. 27
  7. 9
  8. 2744
  9. 8
  10. 4
  11. 19
  12. 12
  13. 27
  14. 64
  15. 15
  16. 49
  17. 64
  18. 125
  19. 2
  20. 20
  21. 8
  22. 2744
  23. 1000
  24. 729
  25. 18
  26. 17
  27. 2197
  28. 4913
  29. 9
  30. 1331
  31. 2
  32. 5
  33. 14
  34. 216
  35. 7
  36. 10
  37. 25
  38. 27
  39. 2
  40. 216

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