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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 284 · 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 17³? =
  2. 2.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  4. 4.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
  6. 6.What is ∛8? =
  7. 7.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  8. 8.Which of these is a perfect cube? (a) 1193 (b) 1099 (c) 1000
  9. 9.What is 9³? =
  10. 10.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  11. 11.What is 18³? =
  12. 12.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.What is 14³? =
  15. 15.What is 3³? =
  16. 16.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  17. 17.What is ∛4096? =
  18. 18.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  19. 19.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  21. 21.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  22. 22.What is ∛8000? =
  23. 23.What is ∛343? =
  24. 24.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.What is ∛3375? =
  26. 26.What is 2³? =
  27. 27.Which of these is a perfect cube? (a) 216 (b) 253 (c) 259
  28. 28.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.What is ∛512? =
  30. 30.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  32. 32.What is 10³? =
  33. 33.What is ∛15625? =
  34. 34.What is 7³? =
  35. 35.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  36. 36.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  37. 37.What is 8³? =
  38. 38.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  39. 39.Which of these is a perfect cube? (a) 560 (b) 512 (c) 563
  40. 40.What is ∛13824? =

Answer key

  1. 4913
  2. 13
  3. 8
  4. 125
  5. 25
  6. 2
  7. 3
  8. 1000
  9. 729
  10. 27
  11. 5832
  12. 64
  13. 64
  14. 2744
  15. 27
  16. 4
  17. 16
  18. 4
  19. 216
  20. 49
  21. 125
  22. 20
  23. 7
  24. 125
  25. 15
  26. 8
  27. 216
  28. 64
  29. 8
  30. 64
  31. 25
  32. 1000
  33. 25
  34. 343
  35. 2
  36. 7
  37. 512
  38. 2
  39. 512
  40. 24

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