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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 137 · 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 108 must be divided to get a perfect cube?
  2. 2.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  4. 4.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  5. 5.What is 6³? =
  6. 6.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  7. 7.What is ∛4913? =
  8. 8.What is ∛5832? =
  9. 9.Which of these is a perfect cube? (a) 571 (b) 565 (c) 512
  10. 10.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  11. 11.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  12. 12.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  13. 13.Which of these is a perfect cube? (a) 731 (b) 729 (c) 925
  14. 14.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  16. 16.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  17. 17.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  19. 19.What is 8³? =
  20. 20.What is 10³? =
  21. 21.Which of these is a perfect cube? (a) 33 (b) 27 (c) 41
  22. 22.What is 12³? =
  23. 23.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  24. 24.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  25. 25.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  26. 26.What is ∛1000? =
  27. 27.What is 15³? =
  28. 28.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  30. 30.What is ∛13824? =
  31. 31.What is 4³? =
  32. 32.What is 18³? =
  33. 33.What is ∛343? =
  34. 34.What is 5³? =
  35. 35.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.What is ∛9261? =
  37. 37.Which of these is a perfect cube? (a) 216 (b) 278 (c) 316
  38. 38.What is ∛1331? =
  39. 39.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  40. 40.What is 7³? =

Answer key

  1. 4
  2. 5
  3. 14
  4. 7
  5. 216
  6. 17
  7. 17
  8. 18
  9. 512
  10. 8
  11. 49
  12. 49
  13. 729
  14. 125
  15. 3
  16. 16
  17. 64
  18. 49
  19. 512
  20. 1000
  21. 27
  22. 1728
  23. 2
  24. 25
  25. 2
  26. 10
  27. 3375
  28. 216
  29. 5
  30. 24
  31. 64
  32. 5832
  33. 7
  34. 125
  35. 125
  36. 21
  37. 216
  38. 11
  39. 6
  40. 343

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