document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099031>Question 1099031</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The surface area and diagonal of a cuboid are 288 sq.cm and 12 cm respectively. Show that the cuboid is a cube. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #713469 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=713469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The surface area and diagonal of a cuboid are 288 sq.cm and 12 cm respectively.<BR>\n" );
document.write( " Show that the cuboid is a cube. <BR>\n" );
document.write( ":<BR>\n" );
document.write( "let s = one side of the cube<BR>\n" );
document.write( "therefore the surface area<BR>\n" );
document.write( "6s^2 = 288<BR>\n" );
document.write( "s^2 = 288/6<BR>\n" );
document.write( "s^2 = 48<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The diagonal of one side<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282s%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%282s%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The diagonal of the cuboid<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282s%5E2+%2B+s%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%282s%5E2+%2B+s%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 12<BR>\n" );
document.write( "square both side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2s%5E2+%2B+s%5E2 ALIGN=MIDDLE  ALT=\"2s%5E2+%2B+s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 144 <BR>\n" );
document.write( "replace s^2 with 48 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2848%29%29+%2B+48%29 ALIGN=MIDDLE  ALT=\"%282%2848%29%29+%2B+48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 144<BR>\n" );
document.write( "96 = 144 - 48<BR>\n" );
document.write( "96=96 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );