document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=244890>Question 244890</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider a cube with edges of length s . In simplest terms, what is the ratio of the number of cubic inches in the volume of a cube to the number of square inches in its surface area? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179027 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=179027\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ratio is:\r<BR>\n" );
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document.write( "V/S = S/6\r<BR>\n" );
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document.write( "Consider a cube with sides of 3.\r<BR>\n" );
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document.write( "The volume (V) is 3*3*3\r<BR>\n" );
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document.write( "The Surface Area (S) is 6*3*3\r<BR>\n" );
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document.write( "The ratio of V/S = 3*3*3/6*3*3 = 3/6\r<BR>\n" );
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document.write( "The volume is 27 cubic inches.\r<BR>\n" );
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document.write( "The surface area is 54 square inches.\r<BR>\n" );
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document.write( "The ratio is 27/54 = 3/6 after you divide numerator and denominator by 9.\r<BR>\n" );
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document.write( "Now consider another cube with side of 14.\r<BR>\n" );
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document.write( "The volume is 14*14*14\r<BR>\n" );
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document.write( "The surface area is 6*14*14\r<BR>\n" );
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document.write( "The ratio of volume to surface area is:\r<BR>\n" );
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document.write( "14*14*14 / 6*14*14 = 14/6\r<BR>\n" );
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document.write( "The volume is 14^3 = 2744\r<BR>\n" );
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document.write( "The surface area is 6*14^2= 1176\r<BR>\n" );
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document.write( "The ratio of volume to surface area is 2744/1176 which is equivalent to 14/6 after you divide numerator and denominator by 196.\r<BR>\n" );
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document.write( "Your answer appears to be:\r<BR>\n" );
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document.write( "V/S = S/6\r<BR>\n" );
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document.write( " </SPAN>\n" );
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