document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=787700>Question 787700</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "I am having some trouble with a Geometry question for an investigation, which states:<BR>\n" );
document.write( "What is the “best” container for mass production between a cylinder can and a square based prism with the same volume of 1000cm^3 ? and why?<BR>\n" );
document.write( "I think it is the cylinder but i am not sure.\r<BR>\n" );
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document.write( "Thanks so MUCH!!!!!<BR>\n" );
document.write( "Gabrielle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #478288 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=478288\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the “best” container for mass production between a cylinder can and a square based prism with the same volume of 1000cm^3 ? and why?<BR>\n" );
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document.write( "Volume of cylinder with diameter of base = d cm<BR>\n" );
document.write( "V = (pi)*(d/2)^2 * h<BR>\n" );
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document.write( "Volume of prism with diagonal of square base = d cm<BR>\n" );
document.write( "If the edge is \"x\", x^2 + x^2 = d^2<BR>\n" );
document.write( "2x^2 = d^2<BR>\n" );
document.write( "x = sqrt(d^2/2) = d/sqrt(2) is the edge.<BR>\n" );
document.write( "Then area of base = d^2/2<BR>\n" );
document.write( "And Volume = [d^2/2]*h<BR>\n" );
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document.write( "So volume depends on area of base, if height is the same for both.<BR>\n" );
document.write( "Comparing [d^2/2] and (pi)[d/2]^2:::<BR>\n" );
document.write( "d^2/2 \"R\" pi(d/2)^2<BR>\n" );
document.write( "1/2 \"R\" pi/4<BR>\n" );
document.write( "0.5 < 0.7854<BR>\n" );
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document.write( "So the square-based prism has the smaller volume.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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