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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 212 · 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 6³? =
  2. 2.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  4. 4.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  5. 5.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  6. 6.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  7. 7.What is 13³? =
  8. 8.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  10. 10.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  11. 11.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.What is 4³? =
  13. 13.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  14. 14.Which of these is a perfect cube? (a) 37 (b) 27 (c) 30
  15. 15.What is 8³? =
  16. 16.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  17. 17.What is 9³? =
  18. 18.Which of these is a perfect cube? (a) 3737 (b) 3375 (c) 3927
  19. 19.What is 16³? =
  20. 20.What is 15³? =
  21. 21.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  22. 22.What is 17³? =
  23. 23.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.What is ∛2744? =
  25. 25.What is ∛5832? =
  26. 26.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  27. 27.What is 3³? =
  28. 28.What is ∛125? =
  29. 29.Which of these is a perfect cube? (a) 152 (b) 139 (c) 125
  30. 30.What is 2³? =
  31. 31.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  32. 32.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  33. 33.What is ∛1000? =
  34. 34.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  35. 35.What is 14³? =
  36. 36.Which of these is a perfect cube? (a) 835 (b) 729 (c) 734
  37. 37.What is ∛4913? =
  38. 38.What is ∛15625? =
  39. 39.What is ∛729? =
  40. 40.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

  1. 216
  2. 64
  3. 7
  4. 3
  5. 9
  6. 13
  7. 2197
  8. 64
  9. 9
  10. 2
  11. 216
  12. 64
  13. 49
  14. 27
  15. 512
  16. 7
  17. 729
  18. 3375
  19. 4096
  20. 3375
  21. 8
  22. 4913
  23. 8
  24. 14
  25. 18
  26. 2
  27. 27
  28. 5
  29. 125
  30. 8
  31. 16
  32. 10
  33. 10
  34. 15
  35. 2744
  36. 729
  37. 17
  38. 25
  39. 9
  40. 27

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