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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 139 · 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) 154 (b) 125 (c) 165
  2. 2.What is 18³? =
  3. 3.What is ∛1331? =
  4. 4.Which of these is a perfect cube? (a) 2574 (b) 2197 (c) 2566
  5. 5.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  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.What is ∛3375? =
  8. 8.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  9. 9.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  10. 10.What is ∛9261? =
  11. 11.What is 7³? =
  12. 12.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  15. 15.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  16. 16.What is ∛10648? =
  17. 17.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  18. 18.Which of these is a perfect cube? (a) 300 (b) 319 (c) 216
  19. 19.What is 13³? =
  20. 20.What is 15³? =
  21. 21.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  22. 22.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  24. 24.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  25. 25.What is ∛4913? =
  26. 26.What is ∛8? =
  27. 27.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.Which of these is a perfect cube? (a) 1955 (b) 1745 (c) 1728
  29. 29.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  30. 30.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 1341 (b) 1639 (c) 1331
  32. 32.What is ∛2197? =
  33. 33.What is 9³? =
  34. 34.Which of these is a perfect cube? (a) 761 (b) 729 (c) 762
  35. 35.What is ∛216? =
  36. 36.What is ∛12167? =
  37. 37.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  38. 38.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  40. 40.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?

Answer key

  1. 125
  2. 5832
  3. 11
  4. 2197
  5. 16
  6. 8
  7. 15
  8. 3
  9. 125
  10. 21
  11. 343
  12. 216
  13. 216
  14. 19
  15. 2
  16. 22
  17. 49
  18. 216
  19. 2197
  20. 3375
  21. 5
  22. 27
  23. 3
  24. 6
  25. 17
  26. 2
  27. 8
  28. 1728
  29. 64
  30. 64
  31. 1331
  32. 13
  33. 729
  34. 729
  35. 6
  36. 23
  37. 64
  38. 125
  39. 15
  40. 2

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