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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 751 · 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 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.What is ∛12167? =
  3. 3.What is ∛1000? =
  4. 4.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  5. 5.What is 4³? =
  6. 6.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  7. 7.What is ∛343? =
  8. 8.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  9. 9.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 244 (b) 253 (c) 216
  13. 13.Which of these is a perfect cube? (a) 163 (b) 125 (c) 160
  14. 14.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  15. 15.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  17. 17.What is ∛2744? =
  18. 18.What is ∛15625? =
  19. 19.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  20. 20.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  21. 21.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  22. 22.What is ∛13824? =
  23. 23.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  24. 24.Which of these is a perfect cube? (a) 1728 (b) 1768 (c) 1788
  25. 25.What is ∛2197? =
  26. 26.What is 20³? =
  27. 27.Which of these is a perfect cube? (a) 729 (b) 849 (c) 900
  28. 28.What is 14³? =
  29. 29.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  32. 32.What is ∛216? =
  33. 33.Which of these is a perfect cube? (a) 1146 (b) 1000 (c) 1264
  34. 34.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  35. 35.What is 16³? =
  36. 36.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  37. 37.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  38. 38.What is ∛1331? =
  39. 39.Which of these is a perfect cube? (a) 343 (b) 423 (c) 453
  40. 40.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

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

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