document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=789015>Question 789015</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An open rectangular box is to be made from a piece of cardboard 20 inches wide and 20 inches long by cutting a square from each corner and bending up the sides.<BR>\n" );
document.write( "(a) Express the volume V of the box as a function of the size x of the cutout. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843715 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=843715\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An open rectangular box is to be made from a piece of cardboard 20 inches wide and 20 inches long by cutting a square from each corner and bending up the sides.<BR>\n" );
document.write( "(a) Express the volume V of the box as a function of the size x of the cutout.<BR>\n" );
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document.write( "Volume  of box = x*(20-2x)(20-2x) cu.in\r<BR>\n" );
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document.write( "x((400 -80x+4x^2)=V\r<BR>\n" );
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document.write( "4x^3-80x^2+400x = V\r<BR>\n" );
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document.write( "(rectified)\r<BR>\n" );
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