document.write( "Question 653285: The height of a box is 5 inches. The length is three inches more than the width. Find the width if the volume is 350. \n" ); document.write( "
Algebra.Com's Answer #408318 by shweta(56)![]() ![]() ![]() You can put this solution on YOUR website! The box is a cuboid \n" ); document.write( "height,h=5 inches, width=w and length,l=w+3 inches \n" ); document.write( "Volume = 350 \n" ); document.write( "Volume =l*w*h \n" ); document.write( " =(w+3)*w*5 \n" ); document.write( " =5w(w+3) \n" ); document.write( " =5(w^2+ 3w) \n" ); document.write( " 350 = 5w^2 +15w \n" ); document.write( " 5w^2 +15w -350=0 \n" ); document.write( "Divide the equation by the H.C.F,5 \n" ); document.write( " w^2 + 3w -70=0 \n" ); document.write( " factors of 70= 2,5,7 \n" ); document.write( " w^2 + 10w -7w -70=0 \n" ); document.write( " w(w+10) -7(w+10)=0 \n" ); document.write( " (w+10)(w-7)=0 \n" ); document.write( " w=7,-10 \n" ); document.write( "the width of the cuboid cannot be negative ,so width is 7 inches and \n" ); document.write( "length=w+3 \n" ); document.write( " l=7+3=10 inches \n" ); document.write( " \n" ); document.write( " |