document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133400>Question 1133400</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The edge of one cube is 4 cm longer than the edge of a second cube. The volumes of the cubes differ by 316cm^3. Find the length of the edge of each cube. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #750603 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=750603\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> volume of a cube is edge^3 or x^3 for smaller cube<BR>\n" );
document.write( "so (x+4)^3-x^3=316 cm^3.  Using binomial expansion, or one can foil out (x+4)^2*(x+3)<BR>\n" );
document.write( "x^3+12x^2+48x+64-x^3=316cm^3<BR>\n" );
document.write( "12x^2+48x-252=0<BR>\n" );
document.write( "divide by 12<BR>\n" );
document.write( "x^2+4x-21=0<BR>\n" );
document.write( "(x+7)(x-3)=0<BR>\n" );
document.write( "x=3 cm smaller cube side length<BR>\n" );
document.write( "x+4=7 cm larger cube side length<BR>\n" );
document.write( "volumes are 343 cm^2 and 27 cm^3 or 316 cm^3 difference.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );