document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935703>Question 935703</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the cube of largest volume is cut out from a sphere of radius 4 root 3. find the volume of the cube<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568986 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=568986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Intuition tells me this has a very expected symmetry to use.  The distance between any two opposite corners of the cube must be a diameter of the sphere.\r<BR>\n" );
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document.write( "That distance is found with the Pythagorean Theorem in THREE DIMENSIONS.  If assign s = length of edge of the cube,<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3s%5E2=4%2A16%2A3 ALIGN=MIDDLE  ALT=\"3s%5E2=4%2A16%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=2%2A4 ALIGN=MIDDLE  ALT=\"s=2%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28s=8%29 ALIGN=MIDDLE  ALT=\"highlight%28s=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the edge length of the cube.\r<BR>\n" );
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document.write( "The volume of this cube is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28s%5E3=8%5E3=highlight%28512%29%29 ALIGN=MIDDLE  ALT=\"highlight%28s%5E3=8%5E3=highlight%28512%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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