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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 239 · 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 ∛9261? =
  2. 2.What is ∛4096? =
  3. 3.What is ∛13824? =
  4. 4.Which of these is a perfect cube? (a) 1175 (b) 1294 (c) 1000
  5. 5.What is 6³? =
  6. 6.What is 20³? =
  7. 7.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  8. 8.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  9. 9.What is ∛8000? =
  10. 10.What is ∛27? =
  11. 11.What is ∛1728? =
  12. 12.Which of these is a perfect cube? (a) 2744 (b) 3165 (c) 2793
  13. 13.What is ∛4913? =
  14. 14.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.What is 11³? =
  16. 16.What is ∛343? =
  17. 17.What is 5³? =
  18. 18.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  19. 19.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  20. 20.What is 14³? =
  21. 21.What is 4³? =
  22. 22.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  23. 23.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  24. 24.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  25. 25.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  26. 26.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  27. 27.What is 8³? =
  28. 28.What is 15³? =
  29. 29.Which of these is a perfect cube? (a) 28 (b) 34 (c) 27
  30. 30.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.What is ∛6859? =
  32. 32.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  34. 34.What is 3³? =
  35. 35.Which of these is a perfect cube? (a) 95 (b) 69 (c) 64
  36. 36.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.What is 16³? =
  38. 38.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.Which of these is a perfect cube? (a) 216 (b) 234 (c) 248
  40. 40.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?

Answer key

  1. 21
  2. 16
  3. 24
  4. 1000
  5. 216
  6. 8000
  7. 25
  8. 15
  9. 20
  10. 3
  11. 12
  12. 2744
  13. 17
  14. 64
  15. 1331
  16. 7
  17. 125
  18. 6
  19. 4
  20. 2744
  21. 64
  22. 9
  23. 5
  24. 2
  25. 3
  26. 13
  27. 512
  28. 3375
  29. 27
  30. 27
  31. 19
  32. 27
  33. 11
  34. 27
  35. 64
  36. 216
  37. 4096
  38. 8
  39. 216
  40. 9

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