document.write( "Question 823993: what is the volume of x if the volume of the box is 648 cubic feet, h=8 ft., L=x-7, W=x-7 \n" ); document.write( "
Algebra.Com's Answer #495996 by algebrahouse.com(1659) You can put this solution on YOUR website! Volume of a rectangular prism (or box) is: \n" ); document.write( "V = lwh {length x width x height}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8(x - 7)(x - 7) = 648 {substituted given information into volume formula} \n" ); document.write( "(x - 7)(x - 7) = 81 {divided each side by 8} \n" ); document.write( "x² - 14x + 49 = 81 {used foil method to multiply binomials} \n" ); document.write( "x² - 14x - 32 = 0 {subtracted 81 from each side} \n" ); document.write( "(x - 16)(x + 2) = 0 {factored into two binomials} \n" ); document.write( "x - 16 = 0 or x + 2 = 0 {set each factor equal to 0} \n" ); document.write( "x = 16 or x = -2 {solved each equation for x} \n" ); document.write( "x = 16 {x cannot be negative for x - 7 being the width and length}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the value of x is 16 \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |