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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 930 · 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 the smallest whole number by which 432 must be divided to get a perfect cube?
  2. 2.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  4. 4.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  6. 6.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  7. 7.What is ∛343? =
  8. 8.What is 4³? =
  9. 9.What is 2³? =
  10. 10.What is 14³? =
  11. 11.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  12. 12.What is ∛12167? =
  13. 13.Which of these is a perfect cube? (a) 27 (b) 42 (c) 52
  14. 14.What is 10³? =
  15. 15.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  16. 16.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 94 (b) 73 (c) 64
  18. 18.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  19. 19.What is 9³? =
  20. 20.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  21. 21.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  23. 23.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  24. 24.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.What is ∛729? =
  26. 26.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  27. 27.What is ∛9261? =
  28. 28.What is ∛3375? =
  29. 29.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  30. 30.What is 13³? =
  31. 31.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  32. 32.What is 19³? =
  33. 33.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.Which of these is a perfect cube? (a) 2970 (b) 2744 (c) 2834
  35. 35.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  36. 36.What is ∛125? =
  37. 37.What is ∛4096? =
  38. 38.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  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. 2
  2. 17
  3. 3
  4. 27
  5. 2
  6. 15
  7. 7
  8. 64
  9. 8
  10. 2744
  11. 4
  12. 23
  13. 27
  14. 1000
  15. 125
  16. 2
  17. 64
  18. 27
  19. 729
  20. 5
  21. 8
  22. 3
  23. 8
  24. 125
  25. 9
  26. 4
  27. 21
  28. 15
  29. 12
  30. 2197
  31. 10
  32. 6859
  33. 64
  34. 2744
  35. 216
  36. 5
  37. 16
  38. 8
  39. 216
  40. 125

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