document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118107>Question 118107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi please help me with this question. i dont know what to do\r<BR>\n" );
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document.write( "The inside of an aircraft is  a square based prism and will be built usin 4 m (squared) of of aluminum. Th plane or cockpit needs a floor, ceiling  and three walls. What demensions will maximize the volume of the cockpit. Round out the deminsions to the nearest meter.\r<BR>\n" );
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document.write( "thanks for any help coming this way </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86219 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=86219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The inside of an aircraft is a square based prism and will be built usin 4 m (squared) of of aluminum. <BR>\n" );
document.write( "The plane or cockpit needs a floor, ceiling and three walls. <BR>\n" );
document.write( "What dimensions will maximize the volume of the cockpit. <BR>\n" );
document.write( "Round out the dimensions to the nearest meter. <BR>\n" );
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document.write( "Volume = Bh where base and ceiling are both squares.<BR>\n" );
document.write( "Then the total side area is  4-2x^2 sq meters<BR>\n" );
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document.write( "Assuming all sides are of equal area, <BR>\n" );
document.write( "Each side has area = (1/3)(4-2x^2)<BR>\n" );
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document.write( "The base of each side is x so the height is(1/3x)(4-2x^2)/3x=(2/3x)(2-x^2)<BR>\n" );
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document.write( "Then the Volume of the cockpit = Bh =  x^2[(2/3x)(2-x^2)]<BR>\n" );
document.write( "= (2x/3)(2-x^2) cu. meters<BR>\n" );
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document.write( "Graphing this and looking for the maximum volume I find:<BR>\n" );
document.write( "Volume= 0.7258 cu meters when x = 0.8165<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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