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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 306 · 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 2³? =
  2. 2.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  4. 4.Which of these is a perfect cube? (a) 79 (b) 64 (c) 101
  5. 5.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  6. 6.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  7. 7.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 216 (b) 244 (c) 286
  9. 9.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  10. 10.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.Which of these is a perfect cube? (a) 32 (b) 27 (c) 49
  12. 12.What is 4³? =
  13. 13.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  15. 15.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  16. 16.What is ∛9261? =
  17. 17.Which of these is a perfect cube? (a) 545 (b) 625 (c) 512
  18. 18.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  20. 20.What is ∛10648? =
  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.What is 15³? =
  23. 23.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  24. 24.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  25. 25.What is 16³? =
  26. 26.What is ∛27? =
  27. 27.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  28. 28.What is 12³? =
  29. 29.What is 14³? =
  30. 30.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.What is ∛4096? =
  32. 32.What is 19³? =
  33. 33.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  34. 34.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  35. 35.What is 3³? =
  36. 36.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  37. 37.What is ∛729? =
  38. 38.What is ∛12167? =
  39. 39.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  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. 8
  2. 17
  3. 6
  4. 64
  5. 49
  6. 13
  7. 8
  8. 216
  9. 7
  10. 27
  11. 27
  12. 64
  13. 27
  14. 2
  15. 9
  16. 21
  17. 512
  18. 216
  19. 7
  20. 22
  21. 64
  22. 3375
  23. 15
  24. 10
  25. 4096
  26. 3
  27. 5
  28. 1728
  29. 2744
  30. 27
  31. 16
  32. 6859
  33. 8
  34. 19
  35. 27
  36. 4
  37. 9
  38. 23
  39. 8
  40. 216

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