document.write( "Question 551492: The height of a box is 10 inches. The length is three inches more than the width. Find the width if the volume is 540 cu inches \r
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Algebra.Com's Answer #359748 by TutorDelphia(193)![]() ![]() You can put this solution on YOUR website! Start with the formula \n" ); document.write( "v=l*w*h \n" ); document.write( "Write the info given in the problem \n" ); document.write( "l=w+3 \n" ); document.write( "540=10*l*w \n" ); document.write( "sub in w+3 for l \n" ); document.write( "540=10(w+3)*w \n" ); document.write( "Solve for w \n" ); document.write( "540=10w(w+3) \n" ); document.write( "540=10w^2+30w \n" ); document.write( "0=10w^2+30w-540 \n" ); document.write( "0=10(w^2+3w-54) \n" ); document.write( "0=10(w+9)(w-6) \n" ); document.write( "w=-9 or 6 \n" ); document.write( "6 is the only reasonable answer \n" ); document.write( "And to check 10*9*6=540 \n" ); document.write( " |