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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 999 · 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 ∛343? =
  2. 2.Which of these is a perfect cube? (a) 83 (b) 95 (c) 64
  3. 3.What is ∛512? =
  4. 4.What is 18³? =
  5. 5.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  6. 6.What is 11³? =
  7. 7.What is ∛8000? =
  8. 8.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.Which of these is a perfect cube? (a) 1654 (b) 1331 (c) 1577
  10. 10.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  11. 11.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛8? =
  13. 13.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  14. 14.What is ∛27? =
  15. 15.Which of these is a perfect cube? (a) 3375 (b) 3815 (c) 3826
  16. 16.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  17. 17.What is 3³? =
  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.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  20. 20.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  21. 21.What is 10³? =
  22. 22.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  24. 24.What is 8³? =
  25. 25.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 855 (b) 756 (c) 729
  27. 27.Which of these is a perfect cube? (a) 142 (b) 147 (c) 125
  28. 28.Which of these is a perfect cube? (a) 1082 (b) 1236 (c) 1000
  29. 29.What is 20³? =
  30. 30.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  31. 31.What is 9³? =
  32. 32.Which of these is a perfect cube? (a) 249 (b) 216 (c) 259
  33. 33.What is ∛4913? =
  34. 34.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.What is ∛2744? =
  37. 37.Which of these is a perfect cube? (a) 2105 (b) 1929 (c) 1728
  38. 38.What is ∛2197? =
  39. 39.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  40. 40.What is the smallest whole number by which 432 must be divided to get a perfect cube?

Answer key

  1. 7
  2. 64
  3. 8
  4. 5832
  5. 4
  6. 1331
  7. 20
  8. 64
  9. 1331
  10. 10
  11. 5
  12. 2
  13. 13
  14. 3
  15. 3375
  16. 49
  17. 27
  18. 216
  19. 20
  20. 2
  21. 1000
  22. 64
  23. 64
  24. 512
  25. 2
  26. 729
  27. 125
  28. 1000
  29. 8000
  30. 64
  31. 729
  32. 216
  33. 17
  34. 216
  35. 27
  36. 14
  37. 1728
  38. 13
  39. 216
  40. 2

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