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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 947 · 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 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.What is ∛1728? =
  3. 3.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  4. 4.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  5. 5.What is ∛9261? =
  6. 6.What is ∛27? =
  7. 7.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  8. 8.What is ∛125? =
  9. 9.What is 19³? =
  10. 10.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  11. 11.What is 2³? =
  12. 12.What is ∛2197? =
  13. 13.Which of these is a perfect cube? (a) 1162 (b) 1000 (c) 1284
  14. 14.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.What is 4³? =
  16. 16.Which of these is a perfect cube? (a) 1877 (b) 1728 (c) 2151
  17. 17.Which of these is a perfect cube? (a) 64 (b) 70 (c) 96
  18. 18.What is 16³? =
  19. 19.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.What is ∛10648? =
  21. 21.What is 3³? =
  22. 22.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  23. 23.Which of these is a perfect cube? (a) 2201 (b) 2197 (c) 2564
  24. 24.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  25. 25.What is 6³? =
  26. 26.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  27. 27.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  28. 28.Which of these is a perfect cube? (a) 969 (b) 796 (c) 729
  29. 29.Which of these is a perfect cube? (a) 263 (b) 216 (c) 299
  30. 30.What is 13³? =
  31. 31.What is ∛4096? =
  32. 32.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  35. 35.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.Which of these is a perfect cube? (a) 555 (b) 512 (c) 575
  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 ∛3375? =
  39. 39.What is ∛64? =
  40. 40.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?

Answer key

  1. 27
  2. 12
  3. 2
  4. 6
  5. 21
  6. 3
  7. 2
  8. 5
  9. 6859
  10. 64
  11. 8
  12. 13
  13. 1000
  14. 125
  15. 64
  16. 1728
  17. 64
  18. 4096
  19. 216
  20. 22
  21. 27
  22. 9
  23. 2197
  24. 19
  25. 216
  26. 9
  27. 8
  28. 729
  29. 216
  30. 2197
  31. 16
  32. 27
  33. 4
  34. 3
  35. 125
  36. 512
  37. 216
  38. 15
  39. 4
  40. 10

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