document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166073>Question 1166073</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Each of the vertices of section ABCD is at the trisection of the edges of the cube as shown. Find the area of the section.\r<BR>\n" );
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document.write( "I apologize for the hassle, but since the image of the diagram cannot be inserted in the text, I have provided a image-hosting link instead: https://ibb.co/Z135Z2Y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790574 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=790574\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Picture the cube with side length s divided into 3*3*3=27 cubes of side length s/3.<br><BR>\n" );
document.write( "Each of the sides of the section is then the space diagonal of a rectangular prism with edge lengths s, s/3, and 2s/3.<br><BR>\n" );
document.write( "The area of the section is the square of its side length.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28sqrt%28%28s%5E2%29%2B%28s%2F3%29%5E2%2B%282s%2F3%29%5E2%29%29%5E2+=+%28sqrt%28s%5E2%2Bs%5E2%2F9%2B4s%5E2%2F9%29%29%5E2+=+%28sqrt%2814s%5E2%2F9%29%29%5E2+=+14s%5E2%2F9+=+%2814%2F9%29s%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The area of the section is 14/9 times the area of one face of the cube.<br><BR>\n" );
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