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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 9 · 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.Which of these is a perfect cube? (a) 667 (b) 512 (c) 654
  2. 2.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  3. 3.What is ∛4913? =
  4. 4.What is 2³? =
  5. 5.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.What is ∛125? =
  7. 7.Which of these is a perfect cube? (a) 477 (b) 463 (c) 343
  8. 8.What is 8³? =
  9. 9.What is 4³? =
  10. 10.What is ∛512? =
  11. 11.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 2744 (b) 2824 (c) 3066
  13. 13.Which of these is a perfect cube? (a) 49 (b) 27 (c) 50
  14. 14.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  15. 15.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  16. 16.What is ∛64? =
  17. 17.What is 19³? =
  18. 18.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  19. 19.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  20. 20.What is ∛2197? =
  21. 21.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  22. 22.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  23. 23.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  24. 24.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  25. 25.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  26. 26.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  28. 28.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  30. 30.Which of these is a perfect cube? (a) 108 (b) 84 (c) 64
  31. 31.What is ∛6859? =
  32. 32.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  33. 33.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  34. 34.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  35. 35.Which of these is a perfect cube? (a) 183 (b) 125 (c) 167
  36. 36.What is ∛4096? =
  37. 37.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.What is 15³? =
  39. 39.What is ∛1331? =
  40. 40.Which of these is a perfect cube? (a) 1248 (b) 1000 (c) 1138

Answer key

  1. 512
  2. 15
  3. 17
  4. 8
  5. 64
  6. 5
  7. 343
  8. 512
  9. 64
  10. 8
  11. 8
  12. 2744
  13. 27
  14. 49
  15. 8
  16. 4
  17. 6859
  18. 19
  19. 2
  20. 13
  21. 2
  22. 4
  23. 9
  24. 2
  25. 7
  26. 27
  27. 5
  28. 216
  29. 8
  30. 64
  31. 19
  32. 3
  33. 5
  34. 3
  35. 125
  36. 16
  37. 27
  38. 3375
  39. 11
  40. 1000

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