![\"\"](\"/images/stars/stars-11.gif\")
You can put this solution on YOUR website!
What is the volume of a tent with measurements:
\n" ); document.write( "h=2m
\n" ); document.write( "b=3m
\n" ); document.write( "l=?
\n" ); document.write( "SA (outside of tent)=38m^2
\n" ); document.write( "Please explain. Thank you in advance!\r
\n" ); document.write( "\n" ); document.write( "thinking this is a triangular tent\r
\n" ); document.write( "\n" ); document.write( "2 sides for the top, 1 side for bottom, 1 front, 1 back
\n" ); document.write( "that is 5 sides
\n" ); document.write( "front=back=(1/2)(3)(2)=(1/2)(6)=3 --> total SA 6m^2\r
\n" ); document.write( "\n" ); document.write( "((1/2)b)^2+h^2=(width of one of the top sides)^2 let's call it slope^2
\n" ); document.write( "((1/2)(3))^2+2^2
\n" ); document.write( "1.5^2+4
\n" ); document.write( "2.25+4
\n" ); document.write( "6.25=slope^2
\n" ); document.write( "2.5=slope\r
\n" ); document.write( "\n" ); document.write( "top=2*2.5*l=5*l
\n" ); document.write( "bottom=3*l\r
\n" ); document.write( "\n" ); document.write( "5*l+3*l+6=38
\n" ); document.write( "8*l=32
\n" ); document.write( "l=4\r
\n" ); document.write( "\n" ); document.write( "V=hbl
\n" ); document.write( "v=2*3*4=6*4=24 m^3\r
\n" ); document.write( "\n" ); document.write( "oh drat, I realized I made an error\r
\n" ); document.write( "\n" ); document.write( "volume of the prism standing up right would be area of base times the height
\n" ); document.write( "in this case area of one of the triangular sides times the length\r
\n" ); document.write( "\n" ); document.write( "V should be 1/2 * base * height * length
\n" ); document.write( "V= 1/2 * 3 * 2 * 4
\n" ); document.write( "V= 1/2 * 6 * 4
\n" ); document.write( "V= 1/2 * 24
\n" ); document.write( "V=12 m^3 NOT 24 m^3 \r
\n" ); document.write( "\n" ); document.write( "sorry\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "