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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 328 · 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 the smallest whole number by which 392 must be multiplied to get a perfect cube?
  2. 2.Which of these is a perfect cube? (a) 67 (b) 64 (c) 87
  3. 3.What is ∛8000? =
  4. 4.Which of these is a perfect cube? (a) 631 (b) 512 (c) 530
  5. 5.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.Which of these is a perfect cube? (a) 381 (b) 372 (c) 343
  7. 7.What is 16³? =
  8. 8.What is ∛9261? =
  9. 9.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.What is ∛12167? =
  11. 11.What is ∛1331? =
  12. 12.Which of these is a perfect cube? (a) 1887 (b) 1728 (c) 2089
  13. 13.Which of these is a perfect cube? (a) 34 (b) 52 (c) 27
  14. 14.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  15. 15.Which of these is a perfect cube? (a) 788 (b) 930 (c) 729
  16. 16.What is ∛10648? =
  17. 17.What is 20³? =
  18. 18.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  19. 19.Which of these is a perfect cube? (a) 193 (b) 125 (c) 155
  20. 20.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  21. 21.What is ∛4096? =
  22. 22.What is 13³? =
  23. 23.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  24. 24.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  25. 25.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  26. 26.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  27. 27.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  28. 28.What is 5³? =
  29. 29.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  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 17³? =
  32. 32.What is 2³? =
  33. 33.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  34. 34.What is 12³? =
  35. 35.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  36. 36.What is ∛13824? =
  37. 37.What is ∛216? =
  38. 38.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  40. 40.What is ∛4913? =

Answer key

  1. 7
  2. 64
  3. 20
  4. 512
  5. 216
  6. 343
  7. 4096
  8. 21
  9. 64
  10. 23
  11. 11
  12. 1728
  13. 27
  14. 13
  15. 729
  16. 22
  17. 8000
  18. 9
  19. 125
  20. 6
  21. 16
  22. 2197
  23. 4
  24. 4
  25. 20
  26. 17
  27. 8
  28. 125
  29. 27
  30. 125
  31. 4913
  32. 8
  33. 9
  34. 1728
  35. 25
  36. 24
  37. 6
  38. 216
  39. 3
  40. 17

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