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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 246 · 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 3³? =
  2. 2.What is ∛15625? =
  3. 3.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛2744? =
  5. 5.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  6. 6.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  8. 8.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  9. 9.Which of these is a perfect cube? (a) 2076 (b) 1728 (c) 1821
  10. 10.What is 11³? =
  11. 11.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  13. 13.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  14. 14.What is 17³? =
  15. 15.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  17. 17.What is 15³? =
  18. 18.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  21. 21.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  22. 22.Which of these is a perfect cube? (a) 108 (b) 64 (c) 101
  23. 23.What is ∛8? =
  24. 24.What is ∛4096? =
  25. 25.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  26. 26.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.What is 8³? =
  28. 28.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  30. 30.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  31. 31.What is ∛343? =
  32. 32.What is 9³? =
  33. 33.What is ∛216? =
  34. 34.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  35. 35.Which of these is a perfect cube? (a) 729 (b) 760 (c) 917
  36. 36.What is ∛1728? =
  37. 37.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  38. 38.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  39. 39.What is ∛12167? =
  40. 40.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

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

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