document.write( "Question 1153942: The length is 5 inches more than the width. The width is 3 inches more than the height. The volume is 336 cubic inches. Find the length, width, and height. \n" ); document.write( "

Algebra.Com's Answer #776280 by ikleyn(52817) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "h*(h+3)*((h+3)+5) = 336\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "h*(h+3)*(h+8) = 336.     (1)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "336 = 4*7*12.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is the decomposition of the number 336 into the product of 3 factors with the same differences \r\n" );
document.write( "between the factors as in the formula (1).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Therfore,  x= 4 is the solution for x.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  Height is 4 inches; width is 4+3 = 7 inches;  length is 4+8 = 12 inches.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );