document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935256>Question 935256</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diagonal of a solid is an imaginary straight line connecting two vertices of the solid which are not in the same face. Given a cube of edge a:<BR>\n" );
document.write( "(a) find the length of its diagonal. <BR>\n" );
document.write( "(b) find the volume of the waste material made by cutting the largest regular <BR>\n" );
document.write( "cylinder from it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568427 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=568427\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The diagonal of a solid is an imaginary straight line connecting two vertices of the solid which are not in the same face. Given a cube of edge a:<BR>\n" );
document.write( "(a) find the length of its diagonal. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+a%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"d+=+a%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------<BR>\n" );
document.write( "(b) find the volume of the waste material made by cutting the largest regular <BR>\n" );
document.write( "cylinder from it.<BR>\n" );
document.write( "Vol of the cube = a^3<BR>\n" );
document.write( "Not sure what a \"regular cylinder\" is, but the largest that can be made is:<BR>\n" );
document.write( "r = a/2 and h = a<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Vol+=+pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"Vol+=+pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Waste = a^3 - volume of cylinder.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );