document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=457307>Question 457307</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the length of the diagonal of a cube with side length 10cm.\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 #313785 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=313785\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the length of the diagonal of a cube with side length 10cm.<BR>\n" );
document.write( "First, find diagonal of base:<BR>\n" );
document.write( "let d = diagonal of base<BR>\n" );
document.write( "then<BR>\n" );
document.write( "d^2 = 10^2 + 10^2<BR>\n" );
document.write( "d^2 = 100 + 100<BR>\n" );
document.write( "d^2 = 200<BR>\n" );
document.write( "d = sqrt(200)<BR>\n" );
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document.write( "Now, find diagonal of cube<BR>\n" );
document.write( "let x = diagonal of cube<BR>\n" );
document.write( "x^2 = [sqrt(200)]^2 + 10^2<BR>\n" );
document.write( "x^2 = 200 + 100<BR>\n" );
document.write( "x^2 = 300<BR>\n" );
document.write( "x = sqrt(300)<BR>\n" );
document.write( "x = sqrt(3*10*10)<BR>\n" );
document.write( "x = 10*sqrt(3)<BR>\n" );
document.write( "x = 17.32 cm<BR>\n" );
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