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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 106 · 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 cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛729? =
  3. 3.Which of these is a perfect cube? (a) 2197 (b) 2245 (c) 2412
  4. 4.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  5. 5.Which of these is a perfect cube? (a) 446 (b) 343 (c) 396
  6. 6.Which of these is a perfect cube? (a) 2105 (b) 1728 (c) 1962
  7. 7.What is ∛125? =
  8. 8.Which of these is a perfect cube? (a) 38 (b) 27 (c) 32
  9. 9.What is ∛1000? =
  10. 10.What is ∛13824? =
  11. 11.Which of these is a perfect cube? (a) 144 (b) 125 (c) 195
  12. 12.What is ∛10648? =
  13. 13.What is 4³? =
  14. 14.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  15. 15.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.Which of these is a perfect cube? (a) 2885 (b) 2997 (c) 2744
  17. 17.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  18. 18.What is ∛27? =
  19. 19.What is ∛1331? =
  20. 20.What is 10³? =
  21. 21.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  22. 22.What is ∛1728? =
  23. 23.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  24. 24.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  25. 25.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.Which of these is a perfect cube? (a) 729 (b) 917 (c) 737
  27. 27.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  28. 28.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  29. 29.What is 20³? =
  30. 30.What is 16³? =
  31. 31.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  32. 32.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  33. 33.What is 15³? =
  34. 34.What is ∛512? =
  35. 35.Which of these is a perfect cube? (a) 64 (b) 96 (c) 101
  36. 36.What is 6³? =
  37. 37.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  39. 39.What is 14³? =
  40. 40.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?

Answer key

  1. 8
  2. 9
  3. 2197
  4. 5
  5. 343
  6. 1728
  7. 5
  8. 27
  9. 10
  10. 24
  11. 125
  12. 22
  13. 64
  14. 7
  15. 8
  16. 2744
  17. 12
  18. 3
  19. 11
  20. 1000
  21. 5
  22. 12
  23. 2
  24. 19
  25. 27
  26. 729
  27. 6
  28. 4
  29. 8000
  30. 4096
  31. 3
  32. 7
  33. 3375
  34. 8
  35. 64
  36. 216
  37. 216
  38. 5
  39. 2744
  40. 14

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