document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=706282>Question 706282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hey guys, this question is related to applications of calculus (I couldn't find the section.<BR>\n" );
document.write( "So, the question is as follows:\r<BR>\n" );
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document.write( "A rectangular block, the length of whose base is twice the width has a total surface area of 300cm^2. Find the dimensions of the block if it is of maximum volume. \r<BR>\n" );
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document.write( "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 #435097 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=435097\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangular block, the length of whose base is twice the width has a total surface area of 300cm^2.<BR>\n" );
document.write( " Find the dimensions of the block if it is of maximum volume.<BR>\n" );
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document.write( "Max volume will be when the larger dimension is the square sides<BR>\n" );
document.write( "Let the squared base = 2w by 2w, the third dimension = w<BR>\n" );
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document.write( "Surface area then<BR>\n" );
document.write( "2(2w*2w) + 4(2w*w) = 300<BR>\n" );
document.write( "8w^2 + 8w^2 = 300<BR>\n" );
document.write( "16w^2 = 300<BR>\n" );
document.write( "w^2 = 300/16<BR>\n" );
document.write( "w^2 = 18.75<BR>\n" );
document.write( "w = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2818.75%29 ALIGN=MIDDLE  ALT=\"sqrt%2818.75%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "w ~ 4.33 cm is width and 8.66 cm the sides of the square base<BR>\n" );
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document.write( "Dimensions for max volume 8.66 by 8.66 by 4.33  </SPAN>\n" );
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