document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=893662>Question 893662</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have geometry problem that I'm stumped on! There is a rectangular prism that looks like an upright tower with a rectangular pyramid on top of it. The measurements of the prism is height 4,side 1.5, then the pyramid on top has measure base 1.5, height 2,find the volume? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541598 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=541598\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if it's a rectangular prism, then it needs to have a height and a length and a width.\r<BR>\n" );
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document.write( "similarly, the rectangular pyramid on the top would need to have a base that has a length and a width equal to the length and the width of the rectangular prism that is it sitting on.\r<BR>\n" );
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document.write( "if you meant a square prism, than the length and the width would both be the same which i can then assume is equal to 1.5\r<BR>\n" );
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document.write( "i'll assume a square prism and a square pyramid on top and we'll see how to go about solving this.\r<BR>\n" );
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document.write( "the volume of the square prism is equal to the area of the base times the height.\r<BR>\n" );
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document.write( "the area of the base is equal to 1.5^2 which is equal to 2.25.\r<BR>\n" );
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document.write( "multiply that by the height and the volume of the prism is 2.25 * 4 = 9 cub9ic units.\r<BR>\n" );
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document.write( "the volume of the square pyramid is equal to 1/3 * the height * the area of the base.\r<BR>\n" );
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document.write( "the area of the base is equal to 2.25 (same as the area of the base of the prism).\r<BR>\n" );
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document.write( "the height of the pyramid is equal to 2.\r<BR>\n" );
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document.write( "the volume of the pyramid is equal to 1/3 * height * area of the base which is equal to 1/3 * 2 * 2.25 which is equal to 1.5\r<BR>\n" );
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document.write( "the total volume of the figure is therefore equal to 9 plus 1.5 = 10.5 cubic units.\r<BR>\n" );
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