document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1134583>Question 1134583</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A trophy is made of a glass triangular prism attached to a 0.5 inch high wooden block shaped like a square prism. The height of the triangular prism is 6 inches. The volume of the wooden base is 4.5 cubic inches. Find the volume of the entire trophy, including the base.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #752056 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=752056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i think it's going to be like this.\r<BR>\n" );
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document.write( "you are given that the height of the square baser is .5 inches and that the volume of the square prism that forms the block is 4.5 cubic inches.\r<BR>\n" );
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document.write( "if you let x equal the length of each side of the square, then the volume of the block will be .5 * x^2 = 4.5 cubic inches.<BR>\n" );
document.write( "solve for x^2 to get x^2 = 4.5 / .5 = 9.<BR>\n" );
document.write( "this makes x = 3.\r<BR>\n" );
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document.write( "that's the length of each side of the top face of the square block.\r<BR>\n" );
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document.write( "the triangular prism is going to sit on the top face of the square block.\r<BR>\n" );
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document.write( "the height of each trianglular face of the prism will be 6 inches.\r<BR>\n" );
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document.write( "the area of each triangular face of the prism will be 1/2 * 3 * 6 = 9.\r<BR>\n" );
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document.write( "the volume of the triangular prism will be 9 * 3 = 27 cubic inches.\r<BR>\n" );
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document.write( "the total volume will be 4.5 + 27 = 31.5 cubic inches.\r<BR>\n" );
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document.write( "here's my picture of what i think the trophy will look like.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/021203.jpg\" alt=\"$$$\" >\r<BR>\n" );
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