document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286392>Question 286392</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a cube measures 5cm on each side.  how long is the diagonal that connects 2 opposite corners of the cube? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #207689 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=207689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a cube measures 5cm on each side.  how long is the diagonal that connects 2 opposite corners of the cube?\r<BR>\n" );
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document.write( "one leg will be 5 cm (L1)<BR>\n" );
document.write( "the other leg will be the hypotenuse of one side<BR>\n" );
document.write( "L2 = sqrt(5^2 + 5^2) = sqrt(2*25)=5sqrt(2)<BR>\n" );
document.write( "D diagonal = sqrt(L1^2 + L2^2)<BR>\n" );
document.write( "D = sqrt(25 + 50) = sqrt(75) = sqrt(3*25)<BR>\n" );
document.write( "D = 5sqrt(3)<BR>\n" );
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