document.write( "Question 286889: Would you please show me the formula to work this problem? If each edge of a cube is increased by 30%, by what percent does the volume increase? thanks!!! \n" ); document.write( "

Algebra.Com's Answer #208039 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Recall that the the volume of a cube is $\"V=s%5E3\"$ where 's' is the side length. \"If each edge of a cube is increased by 30%\", then this means that the new side length is $\"s%2B0.3s=1.3s\"$ (note: this is the same as saying that the new side is 130% of the old side length). Replace 's' with 1.3s to now get $\"V=%281.3s%29%5E3=2.197s%5E3\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the new volume is $\"2.197s%5E3\"$ cubic units. Since the original volume is $\"s%5E3\"$ cubic units, the factor 2.197 plays the role in the increase. Simply multiply this number by 100 to convert it to the percent 219.7%\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"If each edge of a cube is increased by 30%\", then the volume increases by 219.7% \n" ); document.write( "

\n" );