document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=644439>Question 644439</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A large plywood box has a volume of 240 ft^3. Its length is 16 ft greater than its height, and its width is 1 ft less than its height. What are the dimensions of the box? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #405076 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=405076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Volume(V) of a box=Length(L)*Width(W)*Height(H) or V=LWH<BR>\n" );
document.write( "Let H=height of the box<BR>\n" );
document.write( "Then L=H+16<BR>\n" );
document.write( "And W=H-1\r<BR>\n" );
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document.write( "Sooooo:<BR>\n" );
document.write( "V=240 ft^3=(H+16)*(H-1)*H expanding, we get:<BR>\n" );
document.write( "H^3+15H^2-16H-240=0   cubic in standard form and we can factor by grouping<BR>\n" );
document.write( "(H^3+15H^2)-16(H+15)=0<BR>\n" );
document.write( "H^2(H+15)-16(H+15)=0<BR>\n" );
document.write( "(H+15)(H^2-16)=0<BR>\n" );
document.write( "(H+15)(H-4)(H+4)=0  so:<BR>\n" );
document.write( "H=-15 &<BR>\n" );
document.write( "H=-4 &<BR>\n" );
document.write( "H=+4----------------------answer\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "V=240=4*20*3=240<BR>\n" );
document.write( "240=240\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );