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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 833 · 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 ∛2744? =
  2. 2.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.Which of these is a perfect cube? (a) 216 (b) 227 (c) 323
  5. 5.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  6. 6.What is ∛343? =
  7. 7.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.What is ∛1728? =
  9. 9.Which of these is a perfect cube? (a) 343 (b) 403 (c) 394
  10. 10.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  11. 11.What is ∛8? =
  12. 12.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  15. 15.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  16. 16.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  17. 17.What is 11³? =
  18. 18.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  19. 19.What is 4³? =
  20. 20.What is ∛4096? =
  21. 21.What is ∛13824? =
  22. 22.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  24. 24.What is 12³? =
  25. 25.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  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.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  29. 29.What is 6³? =
  30. 30.What is ∛27? =
  31. 31.Which of these is a perfect cube? (a) 729 (b) 879 (c) 936
  32. 32.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  33. 33.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  34. 34.What is 20³? =
  35. 35.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  36. 36.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  37. 37.Which of these is a perfect cube? (a) 592 (b) 650 (c) 512
  38. 38.What is ∛2197? =
  39. 39.What is 19³? =
  40. 40.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?

Answer key

  1. 14
  2. 8
  3. 216
  4. 216
  5. 12
  6. 7
  7. 125
  8. 12
  9. 343
  10. 4
  11. 2
  12. 7
  13. 216
  14. 7
  15. 20
  16. 9
  17. 1331
  18. 25
  19. 64
  20. 16
  21. 24
  22. 64
  23. 5
  24. 1728
  25. 5
  26. 9
  27. 21
  28. 7
  29. 216
  30. 3
  31. 729
  32. 15
  33. 19
  34. 8000
  35. 3
  36. 7
  37. 512
  38. 13
  39. 6859
  40. 16

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