document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=714474>Question 714474</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box with an open top is constrcuted by cutting a-inch suares from the corners of a rectangular sheet of tin whose lenght is twice its width. What size sheet will produce a box having a volume of 60 cubic inches, when a = 2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #438807 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39669)</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=438807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sheet in one direction is w long, and in the other direction is 2w long.  A 2 inch by 2 inch corner is being removed and the flaps be turned, folded to form the open box.  That means, the base of this open box will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w-2%2A2 ALIGN=MIDDLE  ALT=\"w-2%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w-2%2A2 ALIGN=MIDDLE  ALT=\"2w-2%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "The volume, given as 60 cubic inches, is the area of the base multiplied by how high this box is, and is given as 2 inches high, since a=2.  \r<BR>\n" );
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document.write( "Volume, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2860=%28w-2%2A2%29%282w-2%2A2%29%2A2%29 ALIGN=MIDDLE  ALT=\"highlight%2860=%28w-2%2A2%29%282w-2%2A2%29%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60=2%2A2%28w-4%29%28w-2%29 ALIGN=MIDDLE  ALT=\"60=2%2A2%28w-4%29%28w-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15=%28w-4%29%28w-2%29 ALIGN=MIDDLE  ALT=\"15=%28w-4%29%28w-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15=w%5E2-6w%2B8 ALIGN=MIDDLE  ALT=\"15=w%5E2-6w%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2-6w-7=0 ALIGN=MIDDLE  ALT=\"w%5E2-6w-7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28w-7%29%28w%2B1%29+=0%29 ALIGN=MIDDLE  ALT=\"highlight%28%28w-7%29%28w%2B1%29+=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The only value that makes sense is w=7 inches.<BR>\n" );
document.write( "The sheet is 7 inches by 14 inches. </SPAN>\n" );
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