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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 357 · 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 cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  2. 2.What is 3³? =
  3. 3.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  5. 5.What is 18³? =
  6. 6.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.Which of these is a perfect cube? (a) 152 (b) 125 (c) 159
  8. 8.What is ∛1331? =
  9. 9.What is ∛27? =
  10. 10.What is ∛2744? =
  11. 11.What is ∛1000? =
  12. 12.What is 13³? =
  13. 13.What is 4³? =
  14. 14.What is 12³? =
  15. 15.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  16. 16.Which of these is a perfect cube? (a) 1627 (b) 1331 (c) 1442
  17. 17.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  18. 18.What is 11³? =
  19. 19.Which of these is a perfect cube? (a) 2134 (b) 1728 (c) 1742
  20. 20.Which of these is a perfect cube? (a) 31 (b) 27 (c) 51
  21. 21.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  22. 22.What is 9³? =
  23. 23.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.Which of these is a perfect cube? (a) 663 (b) 512 (c) 555
  25. 25.What is ∛4913? =
  26. 26.Which of these is a perfect cube? (a) 2744 (b) 3269 (c) 3287
  27. 27.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  28. 28.What is ∛343? =
  29. 29.What is ∛12167? =
  30. 30.What is 16³? =
  31. 31.Which of these is a perfect cube? (a) 307 (b) 216 (c) 243
  32. 32.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  34. 34.Which of these is a perfect cube? (a) 65 (b) 64 (c) 109
  35. 35.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  36. 36.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  37. 37.What is 6³? =
  38. 38.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  40. 40.What is 2³? =

Answer key

  1. 15
  2. 27
  3. 125
  4. 3
  5. 5832
  6. 8
  7. 125
  8. 11
  9. 3
  10. 14
  11. 10
  12. 2197
  13. 64
  14. 1728
  15. 9
  16. 1331
  17. 7
  18. 1331
  19. 1728
  20. 27
  21. 7
  22. 729
  23. 216
  24. 512
  25. 17
  26. 2744
  27. 16
  28. 7
  29. 23
  30. 4096
  31. 216
  32. 8
  33. 12
  34. 64
  35. 49
  36. 6
  37. 216
  38. 216
  39. 10
  40. 8

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