document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=838943>Question 838943</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the volume and total area of the largest cube of wood that can be cut from a log of circular cross section whose radius is 12.7 in. (use ft. as unit) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #505556 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=505556\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the volume and total area of the largest cube of wood that can be cut from a log of circular cross section whose radius is 12.7 in. (use ft. as unit)<BR>\n" );
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document.write( "The cube's square side's hypotenuse will be the diameter of the log: 25.4\"<BR>\n" );
document.write( "Let x = the length of one side<BR>\n" );
document.write( "x^2 + x^2 = 25.4^2<BR>\n" );
document.write( "2x^2 = 645.16<BR>\n" );
document.write( "divide both sides by 2<BR>\n" );
document.write( "x^2 = 322.58; the area of one side<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28322.58%29 ALIGN=MIDDLE  ALT=\"sqrt%28322.58%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 17.096 in, one side of the cube<BR>\n" );
document.write( "Find the vol of the cube<BR>\n" );
document.write( "Vol: 17.096^3 = 5793.7 cu/in<BR>\n" );
document.write( "Change to cubic ft (1728 cu/in in one cu ft)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5793.7%2F1728 ALIGN=MIDDLE  ALT=\"5793.7%2F1728\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3.353 cu/ft<BR>\n" );
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document.write( "Find the total surface area: 6(322.58) = 1935.48 sq/in<BR>\n" );
document.write( "Change to sq/ft; (1 sq/ft = 144 sq/in)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1935.48%2F144 ALIGN=MIDDLE  ALT=\"1935.48%2F144\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 13.44 sq/ft<BR>\n" );
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