document.write( "Question 1058162: How many cubic yards of earth must be removed in digging an artificial lake 15 feet deep,if the level bottom is a rectangle 180 feet by 20 feet and the top is a rectangle 216 feet by 24 feet?pls show drawing if possible thank you \n" ); document.write( "
Algebra.Com's Answer #673185 by solve_for_x(190)\"\" \"About 
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The volume described in this problem is a truncated rectangular pyramid.\r
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\n" ); document.write( "\n" ); document.write( "The volume is given by:\r
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\n" ); document.write( "\n" ); document.write( "\"V+=+%281%2F3%29%28A1+%2B+A2+%2B+sqrt%28A1+%2A+A2%29%29%28h%29\"\r
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\n" ); document.write( "\n" ); document.write( "where A1 is one base area, A2 is the other base area (it doesn't matter which is which),
\n" ); document.write( "and h is the height.\r
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\n" ); document.write( "\n" ); document.write( "For this problem:\r
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\n" ); document.write( "\n" ); document.write( "A1 = 180 * 20 = 3600\r
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\n" ); document.write( "\n" ); document.write( "A2 = 216 * 24 = 5184\r
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\n" ); document.write( "\n" ); document.write( "h = 15\r
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\n" ); document.write( "\n" ); document.write( "The volume is then:\r
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\n" ); document.write( "\n" ); document.write( "\"V+=+%281%2F3%29%283600+%2B+5184+%2B+sqrt%283600+%2A+5184%29%29%2815%29+=+65520\"\r
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\n" ); document.write( "\n" ); document.write( "Converting 62,520 cubic feet to cubic yards gives:\r
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\n" ); document.write( "\n" ); document.write( "(65520 cu ft)(1 cu yd / 27 cu ft) = 2,426.67 cubic yds
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