document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=290732>Question 290732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The total surface area of a cube is 10,648 centimeters squared. What is the length of a diagonal that is not a diagonal of a face?\r<BR>\n" );
document.write( "\n" );
document.write( "Note: The surface area of a cube is 6e squared, where e is the edges of the cube.\r<BR>\n" );
document.write( "\n" );
document.write( "Please help, 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 #210406 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=210406\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The total surface area of a cube is 10,648 centimeters squared. What is the length of a diagonal that is not a diagonal of a face?<BR>\n" );
document.write( "Note: The surface area of a cube is 6e squared, where e is the edges of the cube.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the diagonal of the face (c)<BR>\n" );
document.write( "c^2 = 2e^2<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Diagonal (d) of opposite corners (not a diagonal of a face)<BR>\n" );
document.write( "Using the diagonal of the face and one edge<BR>\n" );
document.write( "d^2 = 2e^2 + e^2<BR>\n" );
document.write( "d^2 = 3e^2<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283e%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%283e%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find e^2<BR>\n" );
document.write( "e^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10648%2F6 ALIGN=MIDDLE  ALT=\"10648%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "e^2 = 1774.67<BR>\n" );
document.write( "then<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%2A1774.67%29 ALIGN=MIDDLE  ALT=\"sqrt%283%2A1774.67%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 72.9658  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );