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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 360 · 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) 96 (b) 64 (c) 97
  2. 2.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  3. 3.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  5. 5.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  6. 6.What is ∛1331? =
  7. 7.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  8. 8.What is ∛2197? =
  9. 9.Which of these is a perfect cube? (a) 925 (b) 946 (c) 729
  10. 10.Which of these is a perfect cube? (a) 216 (b) 253 (c) 224
  11. 11.What is ∛4096? =
  12. 12.What is 9³? =
  13. 13.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  14. 14.What is 4³? =
  15. 15.Which of these is a perfect cube? (a) 688 (b) 512 (c) 644
  16. 16.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.What is 18³? =
  18. 18.What is ∛64? =
  19. 19.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  20. 20.Which of these is a perfect cube? (a) 125 (b) 188 (c) 178
  21. 21.What is ∛12167? =
  22. 22.Which of these is a perfect cube? (a) 38 (b) 27 (c) 36
  23. 23.Which of these is a perfect cube? (a) 2744 (b) 2830 (c) 3287
  24. 24.What is ∛3375? =
  25. 25.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  27. 27.What is 15³? =
  28. 28.What is 14³? =
  29. 29.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  30. 30.Which of these is a perfect cube? (a) 368 (b) 409 (c) 343
  31. 31.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  32. 32.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  33. 33.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  34. 34.What is ∛1000? =
  35. 35.What is 11³? =
  36. 36.What is ∛729? =
  37. 37.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  38. 38.What is 20³? =
  39. 39.What is 3³? =
  40. 40.What is 6³? =

Answer key

  1. 64
  2. 216
  3. 8
  4. 20
  5. 49
  6. 11
  7. 5
  8. 13
  9. 729
  10. 216
  11. 16
  12. 729
  13. 2
  14. 64
  15. 512
  16. 64
  17. 5832
  18. 4
  19. 49
  20. 125
  21. 23
  22. 27
  23. 2744
  24. 15
  25. 27
  26. 25
  27. 3375
  28. 2744
  29. 8
  30. 343
  31. 64
  32. 2
  33. 16
  34. 10
  35. 1331
  36. 9
  37. 49
  38. 8000
  39. 27
  40. 216

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