document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=348614>Question 348614</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cube has one face that is equal to the total surface area of another cube. Find the ratio of their volumes. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #249363 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=249363\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the length of an edge on the smaller cube be x; then the total surface area \r<BR>\n" );
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document.write( "of the small cube is 6x^2 and its volume is x^3.\r<BR>\n" );
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document.write( "The large cube has one face with an area of 6x^2, so each edge is (sqrt6)x; the \r<BR>\n" );
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document.write( "volume of the large cube is (6sqrt6)x^3, and the ratio of their volumes is \r<BR>\n" );
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document.write( "6sqrt6: 1.<BR>\n" );
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