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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 446 · 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 200 must be divided to get a perfect cube?
  2. 2.What is 6³? =
  3. 3.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  4. 4.What is 16³? =
  5. 5.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  6. 6.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  7. 7.Which of these is a perfect cube? (a) 53 (b) 51 (c) 27
  8. 8.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  9. 9.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  11. 11.What is ∛729? =
  12. 12.What is 15³? =
  13. 13.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  14. 14.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  15. 15.What is ∛512? =
  16. 16.What is ∛8? =
  17. 17.Which of these is a perfect cube? (a) 125 (b) 187 (c) 177
  18. 18.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  19. 19.Which of these is a perfect cube? (a) 100 (b) 94 (c) 64
  20. 20.What is ∛13824? =
  21. 21.Which of these is a perfect cube? (a) 2106 (b) 1728 (c) 1936
  22. 22.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  23. 23.What is 3³? =
  24. 24.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  26. 26.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.What is 14³? =
  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 cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  30. 30.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 4039 (b) 3653 (c) 3375
  32. 32.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  33. 33.What is ∛6859? =
  34. 34.What is ∛1728? =
  35. 35.What is 5³? =
  36. 36.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  37. 37.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

Answer key

  1. 25
  2. 216
  3. 8
  4. 4096
  5. 3
  6. 2
  7. 27
  8. 17
  9. 216
  10. 2
  11. 9
  12. 3375
  13. 3
  14. 15
  15. 8
  16. 2
  17. 125
  18. 3
  19. 64
  20. 24
  21. 1728
  22. 9
  23. 27
  24. 216
  25. 9
  26. 125
  27. 2744
  28. 216
  29. 5
  30. 27
  31. 3375
  32. 10
  33. 19
  34. 12
  35. 125
  36. 25
  37. 64
  38. 216
  39. 27
  40. 125

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