document.write( "Question 222419: By what percent does the volume of a cube increase when the length of each of its sides is tripled? \n" ); document.write( "

Algebra.Com's Answer #166509 by Earlsdon(6294) $\"\"$ $\"About$

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Start with the volume of a cube side of length s. Then its volume is:
\n" ); document.write( " $\"V%5B1%5D+=+s%5E3\"$ Now we substitute the s with 3*s and calculate the new volume.
\n" ); document.write( " $\"V%5B2%5D+=+%283s%29%5E3\"$
\n" ); document.write( " $\"V%5B2%5D+=+27s%5E3\"$ Now substitute $\"V%5B1%5D+=+s%5E3\"$
\n" ); document.write( " $\"V%5B2%5D+=+27V%5B1%5D\"$ and you can see that the volume has increased 27-fold. \n" ); document.write( "

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