document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199760>Question 199760</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Melissa plans to ship a computer in a cubic box that measures x inches on a side. She later determines that her shipping cost will be less if she uses a rectangular box that is 3 inches shorter and 5 inches longer than the cubic box. Write an equation V(x) for the volume of the new box and match your result to the correct answer below.\r<BR>\n" );
document.write( "\n" );
document.write( "A) V(x)=x^3-15xin^3<BR>\n" );
document.write( "B) V(x)=x^3+2x-15in^3<BR>\n" );
document.write( "C) V(x)=x^3-2x^2-15xin^3<BR>\n" );
document.write( "D) V(x)=x^3+2x^2-15xin^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150138 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=150138\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%28x%29=length%2Awidth%2Aheight ALIGN=MIDDLE  ALT=\"V%28x%29=length%2Awidth%2Aheight\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "The original box was a cube, so in that case length=width=height. So the volume of the cubic box is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%28x%29=x%2Ax%2Ax=x%5E3 ALIGN=MIDDLE  ALT=\"V%28x%29=x%2Ax%2Ax=x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "For the rectangular box, one dimension is 3 inches shorter (say length) and another dimension is 5 inches longer (say width). Nothing is said about the height being different. So for the rectangular box, the area is expressed as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%28x%29=%28x-3%29%2A%28x%2B5%29%2Ax ALIGN=MIDDLE  ALT=\"V%28x%29=%28x-3%29%2A%28x%2B5%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplifying...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%28x%29=%28x%5E2%2B2x-15%29%2Ax ALIGN=MIDDLE  ALT=\"V%28x%29=%28x%5E2%2B2x-15%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28V%28x%29=x%5E3%2B2x%5E2-15x%29 ALIGN=MIDDLE  ALT=\"highlight%28V%28x%29=x%5E3%2B2x%5E2-15x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "===========<BR>\n" );
document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );