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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 415 · 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 9³? =
  2. 2.What is 17³? =
  3. 3.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  4. 4.Which of these is a perfect cube? (a) 3375 (b) 3637 (c) 3629
  5. 5.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  6. 6.What is ∛3375? =
  7. 7.What is ∛343? =
  8. 8.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  9. 9.What is 5³? =
  10. 10.Which of these is a perfect cube? (a) 27 (b) 29 (c) 39
  11. 11.Which of these is a perfect cube? (a) 729 (b) 894 (c) 954
  12. 12.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
  13. 13.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  14. 14.What is ∛125? =
  15. 15.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  16. 16.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.What is ∛512? =
  18. 18.Which of these is a perfect cube? (a) 3127 (b) 2744 (c) 3174
  19. 19.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  20. 20.Which of these is a perfect cube? (a) 1331 (b) 1554 (c) 1340
  21. 21.What is 4³? =
  22. 22.What is 12³? =
  23. 23.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  24. 24.What is 19³? =
  25. 25.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  26. 26.What is ∛8000? =
  27. 27.Which of these is a perfect cube? (a) 165 (b) 171 (c) 125
  28. 28.What is 8³? =
  29. 29.What is 10³? =
  30. 30.What is 6³? =
  31. 31.What is 7³? =
  32. 32.What is ∛1000? =
  33. 33.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  34. 34.What is 20³? =
  35. 35.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.What is 18³? =
  37. 37.What is 3³? =
  38. 38.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  39. 39.What is ∛27? =
  40. 40.What is 15³? =

Answer key

  1. 729
  2. 4913
  3. 125
  4. 3375
  5. 7
  6. 15
  7. 7
  8. 15
  9. 125
  10. 27
  11. 729
  12. 25
  13. 13
  14. 5
  15. 25
  16. 125
  17. 8
  18. 2744
  19. 2
  20. 1331
  21. 64
  22. 1728
  23. 7
  24. 6859
  25. 4
  26. 20
  27. 125
  28. 512
  29. 1000
  30. 216
  31. 343
  32. 10
  33. 2
  34. 8000
  35. 64
  36. 5832
  37. 27
  38. 20
  39. 3
  40. 3375

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