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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 362 · 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.What is ∛12167? =
  2. 2.What is 11³? =
  3. 3.What is 3³? =
  4. 4.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  5. 5.Which of these is a perfect cube? (a) 1568 (b) 1343 (c) 1331
  6. 6.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.What is 12³? =
  8. 8.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  9. 9.Which of these is a perfect cube? (a) 84 (b) 64 (c) 106
  10. 10.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  11. 11.What is 9³? =
  12. 12.Which of these is a perfect cube? (a) 2010 (b) 1815 (c) 1728
  13. 13.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.Which of these is a perfect cube? (a) 519 (b) 512 (c) 546
  16. 16.What is ∛5832? =
  17. 17.What is 10³? =
  18. 18.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  19. 19.What is ∛3375? =
  20. 20.What is 18³? =
  21. 21.What is 14³? =
  22. 22.What is ∛2197? =
  23. 23.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  24. 24.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  25. 25.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  26. 26.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  27. 27.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  28. 28.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  29. 29.What is ∛4096? =
  30. 30.Which of these is a perfect cube? (a) 189 (b) 125 (c) 159
  31. 31.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  32. 32.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.What is 13³? =
  34. 34.What is ∛1331? =
  35. 35.Which of these is a perfect cube? (a) 38 (b) 27 (c) 54
  36. 36.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  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 1000 cubic cm. How long is each edge (in cm)?
  39. 39.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  40. 40.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?

Answer key

  1. 23
  2. 1331
  3. 27
  4. 2
  5. 1331
  6. 216
  7. 1728
  8. 9
  9. 64
  10. 64
  11. 729
  12. 1728
  13. 216
  14. 27
  15. 512
  16. 18
  17. 1000
  18. 6
  19. 15
  20. 5832
  21. 2744
  22. 13
  23. 4
  24. 5
  25. 13
  26. 49
  27. 7
  28. 8
  29. 16
  30. 125
  31. 15
  32. 8
  33. 2197
  34. 11
  35. 27
  36. 9
  37. 8
  38. 10
  39. 49
  40. 25

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