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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 551 · 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.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  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 216 cubic cm. How long is each edge (in cm)?
  5. 5.What is 2³? =
  6. 6.What is 8³? =
  7. 7.What is 19³? =
  8. 8.What is ∛1331? =
  9. 9.Which of these is a perfect cube? (a) 1929 (b) 1728 (c) 1744
  10. 10.Which of these is a perfect cube? (a) 885 (b) 947 (c) 729
  11. 11.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  12. 12.Which of these is a perfect cube? (a) 647 (b) 512 (c) 623
  13. 13.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  14. 14.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  16. 16.Which of these is a perfect cube? (a) 2744 (b) 2808 (c) 2818
  17. 17.What is ∛15625? =
  18. 18.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  19. 19.What is ∛729? =
  20. 20.What is 3³? =
  21. 21.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.Which of these is a perfect cube? (a) 439 (b) 377 (c) 343
  23. 23.Which of these is a perfect cube? (a) 1659 (b) 1331 (c) 1379
  24. 24.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  25. 25.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  27. 27.What is 6³? =
  28. 28.What is ∛13824? =
  29. 29.What is ∛10648? =
  30. 30.What is 4³? =
  31. 31.Which of these is a perfect cube? (a) 1000 (b) 1274 (c) 1215
  32. 32.What is ∛1000? =
  33. 33.Which of these is a perfect cube? (a) 263 (b) 216 (c) 264
  34. 34.What is 9³? =
  35. 35.What is 15³? =
  36. 36.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  37. 37.What is ∛4096? =
  38. 38.Which of these is a perfect cube? (a) 2197 (b) 2554 (c) 2259
  39. 39.What is ∛3375? =
  40. 40.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?

Answer key

  1. 216
  2. 8
  3. 14
  4. 6
  5. 8
  6. 512
  7. 6859
  8. 11
  9. 1728
  10. 729
  11. 13
  12. 512
  13. 11
  14. 125
  15. 17
  16. 2744
  17. 25
  18. 3
  19. 9
  20. 27
  21. 64
  22. 343
  23. 1331
  24. 7
  25. 27
  26. 12
  27. 216
  28. 24
  29. 22
  30. 64
  31. 1000
  32. 10
  33. 216
  34. 729
  35. 3375
  36. 9
  37. 16
  38. 2197
  39. 15
  40. 16

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