document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=644775>Question 644775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is formed by cutting squares that measure 4 inch on each side from the four corners and then folding up the sides.\r<BR>\n" );
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document.write( "If the volume of the box 256 in cm^3 what are the dimensions of the piece of cardboard?\r<BR>\n" );
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document.write( "The Height?\r<BR>\n" );
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document.write( "The width?\r<BR>\n" );
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document.write( "It would be appreciated if you can show your work. Thank you! :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #405245 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=405245\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the width of the piece of cardboard = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w+ ALIGN=MIDDLE  ALT=\"+w+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in<BR>\n" );
document.write( "The length = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w+%2B+12+ ALIGN=MIDDLE  ALT=\"+w+%2B+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in<BR>\n" );
document.write( "After the 4 in squares are cut from each corner,<BR>\n" );
document.write( "The width = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w+-+8+ ALIGN=MIDDLE  ALT=\"+w+-+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in<BR>\n" );
document.write( "The length = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w+%2B+12+-+8+ ALIGN=MIDDLE  ALT=\"+w+%2B+12+-+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in<BR>\n" );
document.write( "Folding the sides up makes the height <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+ ALIGN=MIDDLE  ALT=\"+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "The volume is length x width x height, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+256+=+%28+w+-+8+%29%2A%28+w+%2B+4+%29%2A4+ ALIGN=MIDDLE  ALT=\"+256+=+%28+w+-+8+%29%2A%28+w+%2B+4+%29%2A4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+256+=+%28+w%5E2+-+8w+%2B+4w+-+32+%29%2A4+ ALIGN=MIDDLE  ALT=\"+256+=+%28+w%5E2+-+8w+%2B+4w+-+32+%29%2A4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+64+=+w%5E2+-+4w+-+32++ ALIGN=MIDDLE  ALT=\"+64+=+w%5E2+-+4w+-+32++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w%5E2+-+4w+=+96+ ALIGN=MIDDLE  ALT=\"+w%5E2+-+4w+=+96+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Complete the square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w%5E2+-+4w+%2B+%284%2F2%29%5E2+=+96+%2B+%284%2F2%29%5E2+ ALIGN=MIDDLE  ALT=\"+w%5E2+-+4w+%2B+%284%2F2%29%5E2+=+96+%2B+%284%2F2%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w%5E2+-+4w+%2B+4+=+100+ ALIGN=MIDDLE  ALT=\"+w%5E2+-+4w+%2B+4+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+w+-+2+%29%5E2+=+10%5E2+ ALIGN=MIDDLE  ALT=\"+%28+w+-+2+%29%5E2+=+10%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w+-+2+=+10+ ALIGN=MIDDLE  ALT=\"+w+-+2+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w+=+12+ ALIGN=MIDDLE  ALT=\"+w+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in<BR>\n" );
document.write( "and length = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+%2B+12+=+24+ ALIGN=MIDDLE  ALT=\"+12+%2B+12+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in<BR>\n" );
document.write( "The cardboard is 12\" x 24\"<BR>\n" );
document.write( "Height is 4\"<BR>\n" );
document.write( "Width is 12\"<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "The volume is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+V+=+%28+w+-+8+%29%2A%28+w+%2B+4+%29%2A4+ ALIGN=MIDDLE  ALT=\"+V+=+%28+w+-+8+%29%2A%28+w+%2B+4+%29%2A4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+V+=+%28+12+-+8+%29%2A%28+12+%2B+4+%29%2A4+ ALIGN=MIDDLE  ALT=\"+V+=+%28+12+-+8+%29%2A%28+12+%2B+4+%29%2A4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+V+=+4%2A16%2A4+ ALIGN=MIDDLE  ALT=\"+V+=+4%2A16%2A4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+V+=+16%2A16+ ALIGN=MIDDLE  ALT=\"+V+=+16%2A16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+V+=+256+ ALIGN=MIDDLE  ALT=\"+V+=+256+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in3<BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );