document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183609>Question 183609</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 2\" square is cut from each corner of a rectangler piece of sheet metal. The metal is bent up to form a box with no top. The length of the box is 5\" more than the width. The volume of the box is 168 in^3.\r<BR>\n" );
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document.write( "Find: the surface area of the box?<BR>\n" );
document.write( "note: Define var. define other quantities as needed, write a quadratic equation in one var., solve. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137831 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=137831\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <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 = the width of the box<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V ALIGN=MIDDLE  ALT=\"V\"   DISABLED_style= \"max-width:90%; height:auto;\" > in3 = volume of the box <BR>\n" );
document.write( "given:<BR>\n" );
document.write( "length = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+%2B+5 ALIGN=MIDDLE  ALT=\"w+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > in<BR>\n" );
document.write( "height = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+168 ALIGN=MIDDLE  ALT=\"V+=+168\"   DISABLED_style= \"max-width:90%; height:auto;\" > in3<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+w%2A%28w+%2B+5%29%2A2 ALIGN=MIDDLE  ALT=\"V+=+w%2A%28w+%2B+5%29%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+2%2A%28w%5E2+%2B+5w%29 ALIGN=MIDDLE  ALT=\"V+=+2%2A%28w%5E2+%2B+5w%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+2w%5E2+%2B+10w ALIGN=MIDDLE  ALT=\"V+=+2w%5E2+%2B+10w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=168+=+2w%5E2+%2B+10w ALIGN=MIDDLE  ALT=\"168+=+2w%5E2+%2B+10w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w%5E2+%2B+10w+-+168+=+0 ALIGN=MIDDLE  ALT=\"2w%5E2+%2B+10w+-+168+=+0\"   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+%2B+5w+-+84+=+0 ALIGN=MIDDLE  ALT=\"w%5E2+%2B+5w+-+84+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve using quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1 ALIGN=MIDDLE  ALT=\"a+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+5 ALIGN=MIDDLE  ALT=\"b+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+-84 ALIGN=MIDDLE  ALT=\"c+=+-84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A1%2A%28-84%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"w+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A1%2A%28-84%29+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%28-5+%2B-+sqrt%28+25+%2B+336+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"w+=+%28-5+%2B-+sqrt%28+25+%2B+336+%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=w+=+%28-5+%2B-+sqrt%28+361+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"w+=+%28-5+%2B-+sqrt%28+361+%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=w+=+%28-5+%2B-+19%29%2F2+ ALIGN=MIDDLE  ALT=\"w+=+%28-5+%2B-+19%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=w+=+-12 ALIGN=MIDDLE  ALT=\"w+=+-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Can't use a negative value here<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+7 ALIGN=MIDDLE  ALT=\"w+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+%2B+5+=+12 ALIGN=MIDDLE  ALT=\"w+%2B+5+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If I flatten out the box and put the 4 square cut-outs from<BR>\n" );
document.write( "the corners back, then 4 inches gets added to the width<BR>\n" );
document.write( "and 4 inches to the length.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+%2B+4 ALIGN=MIDDLE  ALT=\"w+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the width of flattened box<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+%2B+5+%2B+4 ALIGN=MIDDLE  ALT=\"w+%2B+5+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the length of the flattened box<BR>\n" );
document.write( "Area = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287+%2B+4%29%2A%287+%2B+5+%2B+4%29 ALIGN=MIDDLE  ALT=\"%287+%2B+4%29%2A%287+%2B+5+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Area = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2A16 ALIGN=MIDDLE  ALT=\"11%2A16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Area = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=176 ALIGN=MIDDLE  ALT=\"176\"   DISABLED_style= \"max-width:90%; height:auto;\" > in2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );