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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 326 · 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 5832 cubic cm. How long is each edge (in cm)?
  2. 2.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  3. 3.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.Which of these is a perfect cube? (a) 137 (b) 174 (c) 125
  5. 5.What is 3³? =
  6. 6.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  7. 7.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.What is 7³? =
  9. 9.What is ∛216? =
  10. 10.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  11. 11.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  12. 12.What is 4³? =
  13. 13.What is ∛125? =
  14. 14.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  15. 15.What is 18³? =
  16. 16.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  17. 17.What is ∛3375? =
  18. 18.What is 6³? =
  19. 19.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  20. 20.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  21. 21.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  23. 23.What is ∛4096? =
  24. 24.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  25. 25.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  26. 26.What is 14³? =
  27. 27.Which of these is a perfect cube? (a) 1728 (b) 1919 (c) 1731
  28. 28.What is ∛8? =
  29. 29.What is ∛1728? =
  30. 30.What is ∛729? =
  31. 31.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  32. 32.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  33. 33.Which of these is a perfect cube? (a) 27 (b) 37 (c) 40
  34. 34.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  35. 35.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  36. 36.Which of these is a perfect cube? (a) 729 (b) 897 (c) 781
  37. 37.What is 17³? =
  38. 38.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  39. 39.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is 2³? =

Answer key

  1. 18
  2. 9
  3. 216
  4. 125
  5. 27
  6. 49
  7. 27
  8. 343
  9. 6
  10. 8
  11. 9
  12. 64
  13. 5
  14. 14
  15. 5832
  16. 49
  17. 15
  18. 216
  19. 3
  20. 216
  21. 216
  22. 7
  23. 16
  24. 3
  25. 2
  26. 2744
  27. 1728
  28. 2
  29. 12
  30. 9
  31. 13
  32. 4
  33. 27
  34. 16
  35. 4
  36. 729
  37. 4913
  38. 5
  39. 125
  40. 8

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