document.write( "Question 1127661: Find the dimensions of the box described.
\n" ); document.write( "The length is 4 inches more than the width. The width is 3 inches more than the height. The volume is 480 cubic inches.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #744142 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "The solution by tutor FrankM is probably right in saying that the solution is found more easily with guess-and check than with formal algebra.

\n" ); document.write( "But I would do the guess-and-check work differently than what he shows.

\n" ); document.write( "Without expanding the expression, the equation for the volume of the box is

\n" ); document.write( "x(x+3)(x+7)=480

\n" ); document.write( "Since the product is 480, one of the factors must be 5, or perhaps a multiple of 5.

\n" ); document.write( "So try x = 5, and it works.

\n" ); document.write( "So the dimensions are 5, 8, and 12.
\n" ); document.write( "
\n" );