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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 182 · 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) 297 (b) 284 (c) 216
  2. 2.What is ∛216? =
  3. 3.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  5. 5.What is 16³? =
  6. 6.What is ∛12167? =
  7. 7.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  9. 9.What is 13³? =
  10. 10.What is 9³? =
  11. 11.Which of these is a perfect cube? (a) 662 (b) 629 (c) 512
  12. 12.What is 7³? =
  13. 13.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.What is ∛1728? =
  15. 15.What is 6³? =
  16. 16.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  18. 18.Which of these is a perfect cube? (a) 1254 (b) 1000 (c) 1251
  19. 19.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.What is ∛8000? =
  21. 21.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  22. 22.Which of these is a perfect cube? (a) 3576 (b) 3375 (c) 3393
  23. 23.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  24. 24.Which of these is a perfect cube? (a) 3259 (b) 2744 (c) 2973
  25. 25.What is ∛4096? =
  26. 26.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  27. 27.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  29. 29.What is ∛10648? =
  30. 30.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 193 (b) 177 (c) 125
  32. 32.Which of these is a perfect cube? (a) 51 (b) 28 (c) 27
  33. 33.What is ∛27? =
  34. 34.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  35. 35.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  36. 36.What is ∛343? =
  37. 37.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
  38. 38.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.What is ∛1000? =
  40. 40.What is 11³? =

Answer key

  1. 216
  2. 6
  3. 216
  4. 13
  5. 4096
  6. 23
  7. 125
  8. 9
  9. 2197
  10. 729
  11. 512
  12. 343
  13. 27
  14. 12
  15. 216
  16. 8
  17. 9
  18. 1000
  19. 64
  20. 20
  21. 7
  22. 3375
  23. 9
  24. 2744
  25. 16
  26. 19
  27. 216
  28. 3
  29. 22
  30. 64
  31. 125
  32. 27
  33. 3
  34. 9
  35. 14
  36. 7
  37. 25
  38. 8
  39. 10
  40. 1331

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