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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 136 · 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 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  2. 2.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  3. 3.What is 4³? =
  4. 4.What is 2³? =
  5. 5.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  6. 6.What is ∛216? =
  7. 7.What is ∛1728? =
  8. 8.A cube has a volume of 1331 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 2 cm. How many small cubes are there?
  10. 10.What is 8³? =
  11. 11.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  12. 12.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  13. 13.What is ∛8000? =
  14. 14.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  15. 15.What is ∛2197? =
  16. 16.What is ∛4913? =
  17. 17.What is ∛729? =
  18. 18.What is 3³? =
  19. 19.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  20. 20.What is 14³? =
  21. 21.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  22. 22.Which of these is a perfect cube? (a) 83 (b) 105 (c) 64
  23. 23.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  25. 25.What is 11³? =
  26. 26.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  27. 27.Which of these is a perfect cube? (a) 358 (b) 343 (c) 453
  28. 28.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  30. 30.What is 15³? =
  31. 31.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.What is 6³? =
  33. 33.Which of these is a perfect cube? (a) 41 (b) 27 (c) 40
  34. 34.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  35. 35.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  37. 37.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  38. 38.What is 9³? =
  39. 39.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  40. 40.What is 7³? =

Answer key

  1. 27
  2. 10
  3. 64
  4. 8
  5. 2
  6. 6
  7. 12
  8. 11
  9. 27
  10. 512
  11. 12
  12. 64
  13. 20
  14. 49
  15. 13
  16. 17
  17. 9
  18. 27
  19. 18
  20. 2744
  21. 7
  22. 64
  23. 8
  24. 9
  25. 1331
  26. 19
  27. 343
  28. 27
  29. 13
  30. 3375
  31. 64
  32. 216
  33. 27
  34. 7
  35. 8
  36. 2
  37. 49
  38. 729
  39. 3
  40. 343

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