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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 873 · 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.Which of these is a perfect cube? (a) 64 (b) 86 (c) 69
  2. 2.What is 6³? =
  3. 3.Which of these is a perfect cube? (a) 2197 (b) 2241 (c) 2628
  4. 4.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.What is ∛8? =
  6. 6.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  7. 7.What is ∛4913? =
  8. 8.What is 2³? =
  9. 9.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  10. 10.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  12. 12.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  13. 13.Which of these is a perfect cube? (a) 3225 (b) 3132 (c) 2744
  14. 14.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.What is 5³? =
  16. 16.Which of these is a perfect cube? (a) 273 (b) 216 (c) 295
  17. 17.What is ∛10648? =
  18. 18.Which of these is a perfect cube? (a) 3722 (b) 3375 (c) 3661
  19. 19.Which of these is a perfect cube? (a) 1535 (b) 1523 (c) 1331
  20. 20.What is 4³? =
  21. 21.Which of these is a perfect cube? (a) 177 (b) 160 (c) 125
  22. 22.Which of these is a perfect cube? (a) 1158 (b) 1000 (c) 1266
  23. 23.What is 13³? =
  24. 24.What is ∛125? =
  25. 25.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  26. 26.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  27. 27.What is ∛2197? =
  28. 28.What is 14³? =
  29. 29.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.What is ∛729? =
  31. 31.What is 8³? =
  32. 32.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  33. 33.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  34. 34.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.What is 20³? =
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.Which of these is a perfect cube? (a) 360 (b) 397 (c) 343
  39. 39.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  40. 40.What is the smallest whole number by which 54 must be divided to get a perfect cube?

Answer key

  1. 64
  2. 216
  3. 2197
  4. 125
  5. 2
  6. 49
  7. 17
  8. 8
  9. 14
  10. 216
  11. 3
  12. 2
  13. 2744
  14. 64
  15. 125
  16. 216
  17. 22
  18. 3375
  19. 1331
  20. 64
  21. 125
  22. 1000
  23. 2197
  24. 5
  25. 3
  26. 15
  27. 13
  28. 2744
  29. 27
  30. 9
  31. 512
  32. 7
  33. 25
  34. 125
  35. 8
  36. 8000
  37. 216
  38. 343
  39. 6
  40. 2

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