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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 186 · 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 ∛2197? =
  2. 2.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  4. 4.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  5. 5.What is ∛8000? =
  6. 6.What is 2³? =
  7. 7.Which of these is a perfect cube? (a) 72 (b) 71 (c) 64
  8. 8.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  9. 9.Which of these is a perfect cube? (a) 39 (b) 48 (c) 27
  10. 10.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  11. 11.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  12. 12.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  14. 14.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  15. 15.What is 9³? =
  16. 16.What is 19³? =
  17. 17.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  20. 20.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  21. 21.What is 4³? =
  22. 22.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  23. 23.What is ∛125? =
  24. 24.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  25. 25.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.Which of these is a perfect cube? (a) 782 (b) 888 (c) 729
  27. 27.What is 7³? =
  28. 28.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  29. 29.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.What is ∛64? =
  31. 31.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.Which of these is a perfect cube? (a) 2197 (b) 2244 (c) 2664
  34. 34.What is ∛27? =
  35. 35.What is 16³? =
  36. 36.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  37. 37.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  38. 38.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.What is 3³? =
  40. 40.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 13
  2. 8
  3. 6
  4. 2
  5. 20
  6. 8
  7. 64
  8. 7
  9. 27
  10. 4
  11. 25
  12. 9
  13. 25
  14. 3
  15. 729
  16. 6859
  17. 216
  18. 10
  19. 8
  20. 49
  21. 64
  22. 2
  23. 5
  24. 5
  25. 27
  26. 729
  27. 343
  28. 216
  29. 8
  30. 4
  31. 64
  32. 216
  33. 2197
  34. 3
  35. 4096
  36. 27
  37. 5
  38. 125
  39. 27
  40. 125

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