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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 968 · 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) 512 (b) 690 (c) 671
  2. 2.Which of these is a perfect cube? (a) 405 (b) 343 (c) 366
  3. 3.Which of these is a perfect cube? (a) 1732 (b) 1728 (c) 1786
  4. 4.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  5. 5.Which of these is a perfect cube? (a) 3136 (b) 2854 (c) 2744
  6. 6.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  7. 7.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  8. 8.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  9. 9.What is ∛512? =
  10. 10.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  11. 11.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.What is 2³? =
  13. 13.Which of these is a perfect cube? (a) 3713 (b) 3375 (c) 3689
  14. 14.What is ∛64? =
  15. 15.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  16. 16.What is 6³? =
  17. 17.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  18. 18.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.What is ∛343? =
  20. 20.What is ∛4913? =
  21. 21.What is 15³? =
  22. 22.Which of these is a perfect cube? (a) 188 (b) 125 (c) 168
  23. 23.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  24. 24.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  25. 25.What is ∛13824? =
  26. 26.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.What is 13³? =
  28. 28.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  29. 29.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  30. 30.What is 9³? =
  31. 31.What is 7³? =
  32. 32.Which of these is a perfect cube? (a) 108 (b) 67 (c) 64
  33. 33.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.What is 17³? =
  35. 35.What is ∛8? =
  36. 36.Which of these is a perfect cube? (a) 35 (b) 38 (c) 27
  37. 37.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.What is ∛9261? =
  39. 39.Which of these is a perfect cube? (a) 1000 (b) 1059 (c) 1187
  40. 40.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

  1. 512
  2. 343
  3. 1728
  4. 9
  5. 2744
  6. 3
  7. 12
  8. 16
  9. 8
  10. 9
  11. 64
  12. 8
  13. 3375
  14. 4
  15. 9
  16. 216
  17. 5
  18. 8
  19. 7
  20. 17
  21. 3375
  22. 125
  23. 3
  24. 3
  25. 24
  26. 64
  27. 2197
  28. 5
  29. 27
  30. 729
  31. 343
  32. 64
  33. 125
  34. 4913
  35. 2
  36. 27
  37. 64
  38. 21
  39. 1000
  40. 216

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