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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 904 · 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 ∛1000? =
  2. 2.Which of these is a perfect cube? (a) 701 (b) 512 (c) 568
  3. 3.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛2197? =
  5. 5.What is ∛216? =
  6. 6.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  7. 7.Which of these is a perfect cube? (a) 1758 (b) 1932 (c) 1728
  8. 8.What is 13³? =
  9. 9.What is 10³? =
  10. 10.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  11. 11.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  12. 12.Which of these is a perfect cube? (a) 423 (b) 343 (c) 413
  13. 13.Which of these is a perfect cube? (a) 304 (b) 216 (c) 218
  14. 14.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  15. 15.Which of these is a perfect cube? (a) 3208 (b) 2744 (c) 2829
  16. 16.What is 20³? =
  17. 17.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.What is ∛8? =
  19. 19.What is ∛1728? =
  20. 20.What is 4³? =
  21. 21.What is ∛343? =
  22. 22.What is 11³? =
  23. 23.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  24. 24.Which of these is a perfect cube? (a) 183 (b) 125 (c) 161
  25. 25.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  27. 27.What is ∛9261? =
  28. 28.What is ∛2744? =
  29. 29.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  30. 30.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.What is 14³? =
  32. 32.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  33. 33.What is ∛125? =
  34. 34.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.Which of these is a perfect cube? (a) 34 (b) 27 (c) 28
  38. 38.Which of these is a perfect cube? (a) 1226 (b) 1051 (c) 1000
  39. 39.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  40. 40.Which of these is a perfect cube? (a) 2457 (b) 2197 (c) 2245

Answer key

  1. 10
  2. 512
  3. 7
  4. 13
  5. 6
  6. 4
  7. 1728
  8. 2197
  9. 1000
  10. 7
  11. 25
  12. 343
  13. 216
  14. 10
  15. 2744
  16. 8000
  17. 27
  18. 2
  19. 12
  20. 64
  21. 7
  22. 1331
  23. 12
  24. 125
  25. 8
  26. 9
  27. 21
  28. 14
  29. 4
  30. 27
  31. 2744
  32. 25
  33. 5
  34. 64
  35. 64
  36. 125
  37. 27
  38. 1000
  39. 3
  40. 2197

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