document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=617979>Question 617979</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of a cube is 176 less than the volume of a rectangular prism. The height is the same. The length of the prism is 6 more than the cube and the width of the prism is 2 more than the cube. Find the length of the cube.\r<BR>\n" );
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document.write( "This was on my algebra final today and it stumped me... I literally got every single other question wrong but I just couldn't figure this one out. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388663 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=388663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Height of both cube and rectangular prism is same\r<BR>\n" );
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document.write( "Let length of cube be x<BR>\n" );
document.write( "Length of prism =  x+6\r<BR>\n" );
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document.write( "width of prism = x+2\r<BR>\n" );
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document.write( "The volume of prism - volume of cube = 176<BR>\n" );
document.write( "x= h for the prism\r<BR>\n" );
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document.write( "(x+6)(x+2)*x -x^3= 176<BR>\n" );
document.write( "x(x^2+8x+12)-x^3=176\r<BR>\n" );
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document.write( "x^3+8x^2+12x-x^3= 176\r<BR>\n" );
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document.write( "8x^2+12x-176=0<BR>\n" );
document.write( "/4<BR>\n" );
document.write( "2x^2+3x-44 =0\r<BR>\n" );
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document.write( "2x^2+11x-8x-44=0<BR>\n" );
document.write( "x(2x+11)-4(2x+11)=0<BR>\n" );
document.write( "(2x+11)(x-4)=0<BR>\n" );
document.write( "x= 4 OR -11/2\r<BR>\n" );
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document.write( "Ignore negative value\r<BR>\n" );
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document.write( "x=4 side of cube = 4 units\r<BR>\n" );
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document.write( "Check<BR>\n" );
document.write( "10*6*4=240<BR>\n" );
document.write( "4*4*4=64\r<BR>\n" );
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document.write( "240-64= 176 \r<BR>\n" );
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