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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 107 · 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 27 cubic cm. How long is each edge (in cm)?
  3. 3.Which of these is a perfect cube? (a) 343 (b) 429 (c) 406
  4. 4.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.What is 6³? =
  6. 6.What is ∛343? =
  7. 7.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  8. 8.What is 10³? =
  9. 9.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.Which of these is a perfect cube? (a) 3922 (b) 3752 (c) 3375
  11. 11.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  12. 12.What is 14³? =
  13. 13.What is 19³? =
  14. 14.What is 7³? =
  15. 15.What is ∛4096? =
  16. 16.What is ∛729? =
  17. 17.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.What is 16³? =
  19. 19.What is ∛10648? =
  20. 20.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  21. 21.What is ∛27? =
  22. 22.What is ∛12167? =
  23. 23.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  24. 24.What is 9³? =
  25. 25.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  26. 26.Which of these is a perfect cube? (a) 1087 (b) 1000 (c) 1095
  27. 27.Which of these is a perfect cube? (a) 125 (b) 190 (c) 199
  28. 28.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  29. 29.What is ∛9261? =
  30. 30.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  31. 31.What is 20³? =
  32. 32.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  33. 33.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  34. 34.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  35. 35.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  36. 36.Which of these is a perfect cube? (a) 2666 (b) 2197 (c) 2528
  37. 37.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  38. 38.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  39. 39.Which of these is a perfect cube? (a) 99 (b) 64 (c) 95
  40. 40.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

  1. 27
  2. 3
  3. 343
  4. 64
  5. 216
  6. 7
  7. 18
  8. 1000
  9. 8
  10. 3375
  11. 9
  12. 2744
  13. 6859
  14. 343
  15. 16
  16. 9
  17. 125
  18. 4096
  19. 22
  20. 9
  21. 3
  22. 23
  23. 2
  24. 729
  25. 13
  26. 1000
  27. 125
  28. 5
  29. 21
  30. 7
  31. 8000
  32. 4
  33. 4
  34. 7
  35. 6
  36. 2197
  37. 8
  38. 7
  39. 64
  40. 27

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