document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=854558>Question 854558</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of a shipping container in the shape of a rectangular prism can be represented by the polynomial 6x^3+11x^2+4x, where the height is x.\r<BR>\n" );
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document.write( "a.) Find the length and width of the container<BR>\n" );
document.write( "b.) Find the ratio if the three dimensions of the container when x=2<BR>\n" );
document.write( "c.) Will the ratio of the three dimensions be the same for all values of x?\r<BR>\n" );
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document.write( "THANK YOU SO MUCH! ANY HELP IS GREATLY APPRECIATED!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #514860 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=514860\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The volume of a shipping container in the shape of a rectangular prism can be represented by the polynomial 6x^3+11x^2+4x, where the height is x.<BR>\n" );
document.write( "a.) Find the length and width of the container<BR>\n" );
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document.write( "Factor out x (height): x(6x^2 + 11x + 4)<BR>\n" );
document.write( "then<BR>\n" );
document.write( "6x^2 + 11x + 4 is the area, the product of the length and width<BR>\n" );
document.write( "Factor this<BR>\n" );
document.write( "(3x+4)(2x+1); the length and width<BR>\n" );
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document.write( "b.) Find the ratio if the three dimensions of the container when x=2<BR>\n" );
document.write( "length (3x+4) when x=2<BR>\n" );
document.write( "3(2) + 4 = 10<BR>\n" );
document.write( "width (2x+1)<BR>\n" );
document.write( "2(2) + 1 = 5<BR>\n" );
document.write( "height x, = 2<BR>\n" );
document.write( "10:5:2 is the rato<BR>\n" );
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document.write( "c.) Will the ratio of the three dimensions be the same for all values of x? <BR>\n" );
document.write( "Let's see, let x = 7<BR>\n" );
document.write( "3(7) + 4 = 25<BR>\n" );
document.write( "2(7) + 1 = 15<BR>\n" );
document.write( "7<BR>\n" );
document.write( "25:15:7, the answer is NO! </SPAN>\n" );
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