document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=967015>Question 967015</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One cube has each of its faces covered by one face of an identical cube, making a solif as shown.  The volume of the solid is 875 cm cubed. <BR>\n" );
document.write( "What, in cm squared, is the surface area of the solid?<BR>\n" );
document.write( "A 750<BR>\n" );
document.write( "B 800<BR>\n" );
document.write( "C 875<BR>\n" );
document.write( "D 900<BR>\n" );
document.write( "E 1050 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591151 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=591151\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The solid is not shown, but anyone who ever rolled dice knows that a cube has 6 faces,<BR>\n" );
document.write( "so attaching one cube to each face of the original cube,<BR>\n" );
document.write( "we end up with a cluster of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B6=7 ALIGN=MIDDLE  ALT=\"1%2B6=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > cubes.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=875%2F7=125 ALIGN=MIDDLE  ALT=\"875%2F7=125\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so if the solid volume is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=875cm%5E3 ALIGN=MIDDLE  ALT=\"875cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the volume of the each cube (the original cube and the other 6 identical ones) is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125cm%5E3 ALIGN=MIDDLE  ALT=\"125cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Since the volume of a cube is the cube of the edge length,<BR>\n" );
document.write( "the length of the edge of those cubes, in cm, is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C125%29=5 ALIGN=MIDDLE  ALT=\"root%283%2C125%29=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The surface area of a face of a cube with edge length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5cm ALIGN=MIDDLE  ALT=\"5cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285cm%29%285cm%29=25cm%5E2 ALIGN=MIDDLE  ALT=\"%285cm%29%285cm%29=25cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "In the 7 cube cluster, none of the 6 faces of the original cube is visible (all are covered).<BR>\n" );
document.write( "The other 6 identical cubes attached to the original cube have one face covered (attached to the original cube,<BR>\n" );
document.write( "so each one has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-1=5 ALIGN=MIDDLE  ALT=\"6-1=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > exposed faces.<BR>\n" );
document.write( "The total exposed surface of the 7-cube cluster consists of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A5=30 ALIGN=MIDDLE  ALT=\"6%2A5=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > cube faces (5 faces from each of 6 cubes).<BR>\n" );
document.write( "So the total surface area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2A25cm%5E2=highlight%28750%29cm%5E2 ALIGN=MIDDLE  ALT=\"30%2A25cm%5E2=highlight%28750%29cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );