document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247799>Question 247799</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the surface area of a right triangular prism wiht a base length of 6 inches,a base height of 1 inches,and a height of 14 inches </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180657 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180657\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Insufficient evidence.  You don't say anything limiting about the shape of the triangular base.  The only requirement for a prism to be right triangular is that the base be some sort of triangle.  It could be a right triangle with legs of 6 and 1 (largest possible perimeter, roughly 13.1), or it might be an isosceles triangle with a base of 6 and sides <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sqrt{10}\"> (smallest possible perimeter, roughly 12.3), hence the perimeter of the base can be anything in the range <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 6 + 2\sqrt{10}\"> to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sqrt{37}\">\r<BR>\n" );
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document.write( "The formula for the surface area of a right prism of any shape is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ SA\ =\ 2\,\cdot\,B\ +\ P\,\cdot\,h\">\r<BR>\n" );
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document.write( "Where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE B\"> is the area of the base, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE P\"> is the perimeter of the base, and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE h\"> is the height of the prism.\r<BR>\n" );
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document.write( "You could say that the surface area is in the range:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 6\ +\ 14\left(6\ +\ 2\sqrt{10}\right)\ \leq\ SA\ \leq\ 6\ +\ 14\sqrt{37}\">\r<BR>\n" );
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document.write( "but that is all you can do for sure.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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