document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=269127>Question 269127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular box with no top has height 4 feet. The length of the base is three <BR>\n" );
document.write( "times the width, and the volume is 300 cubic feet. Find the amount of cardboard <BR>\n" );
document.write( "needed to construct the box, and label your answer with appropriate units<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197264 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=197264\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The volume of the open-top box (V) is given as 300 sq.ft.<BR>\n" );
document.write( "For a rectangular prism (a box), the volume is given by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+L%2AW%2Ah ALIGN=MIDDLE  ALT=\"V+=+L%2AW%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > and, in this problem, V = 300 sq.ft., h = 4 ft., W = W and L = 3W, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283W%29%2A%28W%29%2A4+=+300 ALIGN=MIDDLE  ALT=\"%283W%29%2A%28W%29%2A4+=+300\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12W%5E2+=+300 ALIGN=MIDDLE  ALT=\"12W%5E2+=+300\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide by 12.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2+=+25 ALIGN=MIDDLE  ALT=\"W%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" > and...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+5 ALIGN=MIDDLE  ALT=\"W+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >ft. (Discard the negative solution from the square root).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+3W ALIGN=MIDDLE  ALT=\"L+=+3W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+15 ALIGN=MIDDLE  ALT=\"L+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" >ft.<BR>\n" );
document.write( "So, to construct an open-top box with the foregoing dimensions, you would need to start with a rectangular sheet of cardboard with a length (l) of L+2h and a width (w) of W+2h, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l+=+15%2B2%284%29 ALIGN=MIDDLE  ALT=\"l+=+15%2B2%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l+=+23 ALIGN=MIDDLE  ALT=\"l+=+23\"   DISABLED_style= \"max-width:90%; height:auto;\" > and...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+W%2B2%284%29 ALIGN=MIDDLE  ALT=\"w+=+W%2B2%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+5%2B8 ALIGN=MIDDLE  ALT=\"w+=+5%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+13 ALIGN=MIDDLE  ALT=\"w+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The initial sheet of cardboard has to be 23ft. by 13ft, from which you would cut the four corners measuring 4ft. by 4ft.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );