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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 98 · 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 192 must be multiplied to get a perfect cube?
  2. 2.What is 2³? =
  3. 3.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  4. 4.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  5. 5.What is 6³? =
  6. 6.What is ∛8000? =
  7. 7.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.What is 12³? =
  9. 9.What is ∛1728? =
  10. 10.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  11. 11.What is 19³? =
  12. 12.What is ∛27? =
  13. 13.What is 4³? =
  14. 14.What is ∛512? =
  15. 15.Which of these is a perfect cube? (a) 229 (b) 216 (c) 235
  16. 16.Which of these is a perfect cube? (a) 897 (b) 738 (c) 729
  17. 17.What is ∛125? =
  18. 18.What is ∛1331? =
  19. 19.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  20. 20.What is ∛3375? =
  21. 21.What is ∛216? =
  22. 22.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  23. 23.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  24. 24.What is 14³? =
  25. 25.Which of these is a perfect cube? (a) 343 (b) 346 (c) 432
  26. 26.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  27. 27.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  28. 28.What is 11³? =
  29. 29.What is 20³? =
  30. 30.What is ∛343? =
  31. 31.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  32. 32.What is ∛64? =
  33. 33.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  35. 35.What is ∛9261? =
  36. 36.Which of these is a perfect cube? (a) 3999 (b) 3814 (c) 3375
  37. 37.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.What is ∛8? =
  39. 39.Which of these is a perfect cube? (a) 1798 (b) 1728 (c) 1809
  40. 40.What is 3³? =

Answer key

  1. 9
  2. 8
  3. 49
  4. 4
  5. 216
  6. 20
  7. 216
  8. 1728
  9. 12
  10. 14
  11. 6859
  12. 3
  13. 64
  14. 8
  15. 216
  16. 729
  17. 5
  18. 11
  19. 6
  20. 15
  21. 6
  22. 16
  23. 4
  24. 2744
  25. 343
  26. 27
  27. 3
  28. 1331
  29. 8000
  30. 7
  31. 9
  32. 4
  33. 8
  34. 5
  35. 21
  36. 3375
  37. 125
  38. 2
  39. 1728
  40. 27

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