document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=276249>Question 276249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would really appreciate help with this problem.  Thanks!\r<BR>\n" );
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document.write( "Shipping: A shipping box is reinforced with steel bands in all three directions.  A total of 20.5 feet of steel tape is to be used, with 6 inches of waste because of a 2 inch overlap in each direction.  If the box has a square base and a volume of 2 cubic feet, find the dimensions.\r<BR>\n" );
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document.write( "If you could also show me how to check the answer I would really appreciate it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201402 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=201402\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> look at or think about a wrapped box\r<BR>\n" );
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document.write( "each dimension (width, depth, height) has 4 lengths of tape (bands)\r<BR>\n" );
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document.write( "subtracting the 6 inch waste ___ 4w + 4d + 4h = 20 ___ w + d + h = 5\r<BR>\n" );
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document.write( "the base is square, so ___ w = d ___ substituting ___ 2w + h = 5 ___ h = 5 - 2w\r<BR>\n" );
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document.write( "the volume is 2 ___ w * d * h = 2 ___ substituting ___ w^2 * h = 2 ___ w^2 (5 - 2w) = 2 ___ 0 = 2w^3 - 5w^2 + 2\r<BR>\n" );
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document.write( "when w = 1, the value of the expression is -1<BR>\n" );
document.write( "___ when w = 1/2, the value of the expression is 1\r<BR>\n" );
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document.write( "you can test between these points to find a suitable value for w (this will also be the value for d)<BR>\n" );
document.write( "HINT: should be close to 3/4\r<BR>\n" );
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document.write( "you can then substitute to find h </SPAN>\n" );
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