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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 545 · 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 big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  2. 2.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  3. 3.What is 10³? =
  4. 4.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.What is ∛1000? =
  7. 7.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  8. 8.What is 4³? =
  9. 9.What is 3³? =
  10. 10.Which of these is a perfect cube? (a) 162 (b) 125 (c) 179
  11. 11.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  12. 12.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  14. 14.What is ∛216? =
  15. 15.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  16. 16.What is 8³? =
  17. 17.What is 13³? =
  18. 18.What is ∛4913? =
  19. 19.What is 2³? =
  20. 20.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  21. 21.What is 20³? =
  22. 22.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  23. 23.What is 18³? =
  24. 24.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 271 (b) 305 (c) 216
  27. 27.What is ∛6859? =
  28. 28.What is ∛12167? =
  29. 29.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  30. 30.Which of these is a perfect cube? (a) 517 (b) 520 (c) 512
  31. 31.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  32. 32.What is ∛2744? =
  33. 33.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is 16³? =
  35. 35.What is 11³? =
  36. 36.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 3 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.What is 14³? =
  40. 40.What is 6³? =

Answer key

  1. 27
  2. 7
  3. 1000
  4. 8
  5. 125
  6. 10
  7. 14
  8. 64
  9. 27
  10. 125
  11. 9
  12. 64
  13. 18
  14. 6
  15. 9
  16. 512
  17. 2197
  18. 17
  19. 8
  20. 7
  21. 8000
  22. 11
  23. 5832
  24. 125
  25. 9
  26. 216
  27. 19
  28. 23
  29. 2
  30. 512
  31. 3
  32. 14
  33. 8
  34. 4096
  35. 1331
  36. 49
  37. 8
  38. 216
  39. 2744
  40. 216

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