document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145023>Question 1145023</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q: A rectangular open-topped box is to be constructed out of 20-inch-square sheets of thin cardboard by cutting x-inch squares out of each corner and bending the sides up as indicated in the figure. Express each of the following quantities as a polynomial in both factored and expanded form. (A) The area of cardboard after the corners have been removed. (B) The volume of the box.\r<BR>\n" );
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document.write( "A: I know area = 20^2. I'm guessing the 4 cut squares would be 4x^2? So would the area, before factorization, be just <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20%5E2+-+4x%5E2+ ALIGN=MIDDLE  ALT=\"+20%5E2+-+4x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >? And factorization would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+400+-+4x%5E2+=+4%28100+-+x%5E2%29+ ALIGN=MIDDLE  ALT=\"+400+-+4x%5E2+=+4%28100+-+x%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "While I kind of understood area, I'm lost on volume. I know the equation for volume is length x width x height, but I'm not sure how to apply that here. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #766210 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=766210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x, the edge cut out at each corner, also becomes the box height.\r<BR>\n" );
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document.write( "Volume,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2820-x%29%5E2 ALIGN=MIDDLE  ALT=\"x%2820-x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the factored form.\r<BR>\n" );
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document.write( "The area of the bottom is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820-x%29%2820-x%29 ALIGN=MIDDLE  ALT=\"%2820-x%29%2820-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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