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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 35 · 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 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  3. 3.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  4. 4.Which of these is a perfect cube? (a) 241 (b) 216 (c) 237
  5. 5.What is 5³? =
  6. 6.What is 18³? =
  7. 7.What is 16³? =
  8. 8.What is ∛216? =
  9. 9.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  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.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.Which of these is a perfect cube? (a) 2041 (b) 1928 (c) 1728
  14. 14.What is ∛27? =
  15. 15.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  16. 16.What is 4³? =
  17. 17.Which of these is a perfect cube? (a) 2197 (b) 2263 (c) 2536
  18. 18.What is ∛343? =
  19. 19.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  20. 20.What is ∛5832? =
  21. 21.What is ∛8000? =
  22. 22.What is 6³? =
  23. 23.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  24. 24.What is ∛125? =
  25. 25.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  26. 26.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  27. 27.What is 9³? =
  28. 28.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  29. 29.Which of these is a perfect cube? (a) 548 (b) 668 (c) 512
  30. 30.What is ∛4096? =
  31. 31.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  32. 32.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.What is ∛1000? =
  34. 34.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  35. 35.What is 13³? =
  36. 36.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  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.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  39. 39.What is 3³? =
  40. 40.What is 11³? =

Answer key

  1. 64
  2. 27
  3. 49
  4. 216
  5. 125
  6. 5832
  7. 4096
  8. 6
  9. 125
  10. 5
  11. 8
  12. 216
  13. 1728
  14. 3
  15. 4
  16. 64
  17. 2197
  18. 7
  19. 2
  20. 18
  21. 20
  22. 216
  23. 17
  24. 5
  25. 9
  26. 49
  27. 729
  28. 2
  29. 512
  30. 16
  31. 16
  32. 8
  33. 10
  34. 27
  35. 2197
  36. 64
  37. 216
  38. 216
  39. 27
  40. 1331

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