document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26229>Question 26229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.<BR>\n" );
document.write( "a)	Find the function V that represents the volume of the box in terms of x. <BR>\n" );
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document.write( "b)	Graph this function.<BR>\n" );
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document.write( "c)	Using the graph, what is the value of x that will produce the maximum volume?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14310 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=14310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An open-top box is to be connected from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and then folding up the flaps. Let x denote the length of each side of the square to be cut out. Find the function V that represents the volume of the box in terms of x.<BR>\n" );
document.write( "This is what I got:<BR>\n" );
document.write( "6x+8x+x=14x²<BR>\n" );
document.write( "x=14<BR>\n" );
document.write( "LENGTH OF BOARD=6 FT....WIDTH OF BOARD =8 FT.<BR>\n" );
document.write( "IF X LONG SQUARE PIECES ARE CUT AT 4 CORNERS WE SHALL HAVE THE BOX DIMENSIONS AS<BR>\n" );
document.write( "HEIGHT =X.....LENGTH = 6-2X.....WIDTH =8-2X<BR>\n" );
document.write( "VOLUME = V = L*W*H =X(6-2X)(8-2X)=X(48-28X+4X^2)=48X-28X^2+4X^3\r<BR>\n" );
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document.write( "THE GRAPH WILL LOOK LIKE THIS<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C48%2Ax-28%2Ax%5E2%2B4%2Ax%5E3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C48%2Ax-28%2Ax%5E2%2B4%2Ax%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "FROM THE GRAPH YOU CAN SEE V HAS A PEAK AT X=ABOUT 3.5 FEET<BR>\n" );
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