SOLUTION: By what percent does the volume of a cube increase when the length of each of its sides is tripled?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: By what percent does the volume of a cube increase when the length of each of its sides is tripled?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 222419: By what percent does the volume of a cube increase when the length of each of its sides is tripled?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the volume of a cube side of length s. Then its volume is:
V%5B1%5D+=+s%5E3 Now we substitute the s with 3*s and calculate the new volume.
V%5B2%5D+=+%283s%29%5E3
V%5B2%5D+=+27s%5E3 Now substitute V%5B1%5D+=+s%5E3
V%5B2%5D+=+27V%5B1%5D and you can see that the volume has increased 27-fold.