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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 731 · 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) 927 (b) 738 (c) 729
  2. 2.What is 17³? =
  3. 3.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛64? =
  5. 5.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  6. 6.What is 11³? =
  7. 7.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.What is 6³? =
  9. 9.Which of these is a perfect cube? (a) 94 (b) 101 (c) 64
  10. 10.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  11. 11.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  12. 12.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  13. 13.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  15. 15.Which of these is a perfect cube? (a) 28 (b) 27 (c) 46
  16. 16.Which of these is a perfect cube? (a) 1331 (b) 1357 (c) 1649
  17. 17.Which of these is a perfect cube? (a) 164 (b) 142 (c) 125
  18. 18.What is 18³? =
  19. 19.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  20. 20.What is ∛216? =
  21. 21.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  22. 22.What is ∛2744? =
  23. 23.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  24. 24.What is ∛12167? =
  25. 25.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  26. 26.What is 9³? =
  27. 27.Which of these is a perfect cube? (a) 1212 (b) 1286 (c) 1000
  28. 28.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  29. 29.What is 2³? =
  30. 30.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.What is 4³? =
  32. 32.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.Which of these is a perfect cube? (a) 388 (b) 434 (c) 343
  34. 34.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  35. 35.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  36. 36.What is 13³? =
  37. 37.What is 20³? =
  38. 38.What is ∛4913? =
  39. 39.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is ∛27? =

Answer key

  1. 729
  2. 4913
  3. 6
  4. 4
  5. 7
  6. 1331
  7. 64
  8. 216
  9. 64
  10. 125
  11. 16
  12. 4
  13. 8
  14. 17
  15. 27
  16. 1331
  17. 125
  18. 5832
  19. 5
  20. 6
  21. 49
  22. 14
  23. 11
  24. 23
  25. 19
  26. 729
  27. 1000
  28. 5
  29. 8
  30. 125
  31. 64
  32. 125
  33. 343
  34. 2
  35. 3
  36. 2197
  37. 8000
  38. 17
  39. 8
  40. 3

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