document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=857955>Question 857955</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A square is cut out of each corner of a rectangle sheet of aluminum that is 30 cm by 90 cm. The sides are folded up to form a rectangular container with no top. The area of the bottom of the container is 1600cm^2. What are the dimensions of each cut out square? Find the volume of the container? (V= lwh) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #516943 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=516943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = side length of the square corner piece cut at each of the original rectangle sheet.\r<BR>\n" );
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document.write( "Area of the bottom piece becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%2830-2x%29%2890-2x%29=1600%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%2830-2x%29%2890-2x%29=1600%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A4%2815-x%29%2845-x%29=4%2A4%2A100 ALIGN=MIDDLE  ALT=\"4%2A4%2815-x%29%2845-x%29=4%2A4%2A100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815-x%29%2845-x%29=100 ALIGN=MIDDLE  ALT=\"%2815-x%29%2845-x%29=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=675-60x%2Bx%5E2=100 ALIGN=MIDDLE  ALT=\"675-60x%2Bx%5E2=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-60x%2B575=0 ALIGN=MIDDLE  ALT=\"x%5E2-60x%2B575=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "discriminant, 3600-4*575=572=2*2*143<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2860%2Bsqrt%282%2A2%2A143%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%2860%2Bsqrt%282%2A2%2A143%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2860%2B2%2Asqrt%28143%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%2860%2B2%2Asqrt%28143%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=30%2Bsqrt%28143%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=30%2Bsqrt%28143%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Volume: expect this to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28%2830%2Bsqrt%28143%29%29%2A1600%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28%2830%2Bsqrt%28143%29%29%2A1600%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "That is, the known base area multiplied by the height of x, which we just solved for. </SPAN>\n" );
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