document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=461941>Question 461941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are monitoring a V-shaped channel that carries water runoff from a section highway.  the channel is 8feet deep, 10 feet across, and 1/2 mile long.  when the the water is 61/2 deep,  about how many cubic feet of water will ther be in the channel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316711 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=316711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you are monitorina a V-shaped channel that carries water runoff from a section highway. the channel is 8feet deep, 10 feet across, and 1/2 mile long. when the the water is 61/2 deep, about how many cubic feet of water will ther be in the channel?<BR>\n" );
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document.write( "The shape of the channel is a triangular prism. (the underwater v-shape sides, and a line drawn from side to side on the surface form an inverted triangle. The distance of the channel adds the other dimension.<BR>\n" );
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document.write( "We need to use the formula for the volume of this shape to find the amount of water contained in it. The formula for the volume of a triangular prism is <BR>\n" );
document.write( "V = [the area of the triangle] x [the length of the channel].<BR>\n" );
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document.write( "The formula for the area of a triangle is <BR>\n" );
document.write( "A = [1/2] x [base] x [height].<BR>\n" );
document.write( "In your problem, the base of the triangle is the distance across the channel (10 ft.), and height of the triangle is the depth of the channel (8 ft.). <BR>\n" );
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document.write( "The channel is 1/2 mile long. We need to convert this to feet. There are 5,280 feet in one mile, so there are 2,640 feet in a half-mile.<BR>\n" );
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document.write( "Let's use our formula to put this all together:<BR>\n" );
document.write( "V = (1/2)*(10)*(6.5)*(2640)<BR>\n" );
document.write( "V = 85,800<BR>\n" );
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document.write( "There are 85,800 cubic feet in the channel.<BR>\n" );
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document.write( "Hope this helps!<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex<BR>\n" );
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