document.write( "Question 957568: if all the edges of an equilateral triangular based right prism is s units long, what is the volume of the prism in terms of s. what is the surface area of the prism in terms of s.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #585171 by macston(5194)\"\" \"About 
You can put this solution on YOUR website!
s=length of all edges A=Area; V=volume; SA=surface area; a=altitude of triangular base
\n" ); document.write( "The altitude of the triangular base of the prism would be given by:
\n" ); document.write( "\"a=%28sqrt%283%29%2F2%29s\"
\n" ); document.write( "The area of an equilateral triangle in terms of s (base=s) is:
\n" ); document.write( "\"A%5Bbase%5D=%281%2F2%29sa\"
\n" ); document.write( "\"A%5Bbase%5D=%281%2F2%29s%2A%28sqrt%283%29%2F2%29s\"
\n" ); document.write( "\"A%5Bbase%5D=%28sqrt%283%29%2F4%29s%5E2\"
\n" ); document.write( "So volume of the prism would be given by (height=s):
\n" ); document.write( "\"V=A%5Bbase%5D%2Aheight\"
\n" ); document.write( "\"V=%28sqrt%283%29%2F4%29s%5E3\"
\n" ); document.write( "The surface area would be:
\n" ); document.write( "\"2%2AA%5Bbase%5D\"+Area of sides
\n" ); document.write( "Each side would have \"Area=L%2AW=s%2As=s%5E2\"
\n" ); document.write( "The area of all 3 sides=\"3s%5E2\"
\n" ); document.write( ".
\n" ); document.write( "And \"2%2AA%5Bbase%5D=2%28sqrt%283%29%2F4%29s%5E2\"=\"%28sqrt%283%29%2F2%29s%5E2\"
\n" ); document.write( ".
\n" ); document.write( "\"SA=%28%28sqrt%283%29%2F2%29s%5E2%29%2B3s%5E2\"
\n" ); document.write( ".
\n" ); document.write( "\"SA=%28s%5E2%29%28sqrt%283%29%2F2%2B3%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" );