document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=490573>Question 490573</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider a rectangular box with a volume of 300 cubic centimeters. Suppose that the base is a rectangle with sides x centimeters and 3x centimeters. Let h(x) give the height of the box in centimeters and let A(x)be the total area of the six sides of the box. Find h(x) and A(x). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #334197 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=334197\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider a rectangular box with a volume of 300 cubic centimeters.<BR>\n" );
document.write( " Suppose that the base is a rectangle with sides x centimeters and 3x centimeters.<BR>\n" );
document.write( " Let h(x) give the height of the box in centimeters and let A(x)be the total area of the six sides of the box.<BR>\n" );
document.write( " Find h(x) and A(x).<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Using the given volume, find the h in terms of x<BR>\n" );
document.write( "L * W * h = 300<BR>\n" );
document.write( "3x * x * h = 300<BR>\n" );
document.write( "3x^2h = 300<BR>\n" );
document.write( "divide both sides by 3<BR>\n" );
document.write( "x^2h = 100<BR>\n" );
document.write( "divide both sides by x^2<BR>\n" );
document.write( "h(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2Fx%5E2 ALIGN=MIDDLE  ALT=\"100%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Area of the sides<BR>\n" );
document.write( "A = 2(L*W) + 2(L*h) + 2(W*h)<BR>\n" );
document.write( "L=3x; W=x<BR>\n" );
document.write( "A = 2(3x*x) + 2(3x*h) + 2(x*h)<BR>\n" );
document.write( "A = 6x^2 + 6xh + 2xh<BR>\n" );
document.write( "A = 6x^2 + 8xh<BR>\n" );
document.write( "Replace h with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2Fx%5E2 ALIGN=MIDDLE  ALT=\"100%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 6x^2 + 8x*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2Fx%5E2 ALIGN=MIDDLE  ALT=\"100%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A(x) = 6x^2 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=800%2Fx ALIGN=MIDDLE  ALT=\"800%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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