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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 292 · 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) 3659 (b) 3484 (c) 3375
  2. 2.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛4913? =
  5. 5.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  6. 6.Which of these is a perfect cube? (a) 357 (b) 471 (c) 343
  7. 7.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  8. 8.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  9. 9.What is ∛729? =
  10. 10.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  11. 11.Which of these is a perfect cube? (a) 592 (b) 512 (c) 558
  12. 12.What is 3³? =
  13. 13.What is ∛2744? =
  14. 14.What is 14³? =
  15. 15.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.What is ∛1000? =
  17. 17.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  18. 18.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  19. 19.What is 15³? =
  20. 20.What is 19³? =
  21. 21.What is ∛64? =
  22. 22.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  23. 23.Which of these is a perfect cube? (a) 248 (b) 229 (c) 216
  24. 24.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 168 (b) 198 (c) 125
  27. 27.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  28. 28.What is ∛4096? =
  29. 29.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  30. 30.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  31. 31.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  32. 32.What is 20³? =
  33. 33.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  34. 34.What is ∛343? =
  35. 35.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  36. 36.What is ∛27? =
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.What is ∛13824? =
  39. 39.Which of these is a perfect cube? (a) 84 (b) 111 (c) 64
  40. 40.What is ∛1728? =

Answer key

  1. 3375
  2. 3
  3. 2
  4. 17
  5. 7
  6. 343
  7. 3
  8. 5
  9. 9
  10. 2
  11. 512
  12. 27
  13. 14
  14. 2744
  15. 216
  16. 10
  17. 11
  18. 2
  19. 3375
  20. 6859
  21. 4
  22. 4
  23. 216
  24. 64
  25. 5
  26. 125
  27. 13
  28. 16
  29. 8
  30. 19
  31. 7
  32. 8000
  33. 8
  34. 7
  35. 5
  36. 3
  37. 27
  38. 24
  39. 64
  40. 12

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