document.write( "Question 1178407: the corner of a triangular base of a truncated prism is defined by A, B, and C. what is its volume if the length of AB =10 ft, BC = 9ft and CA is 12 ft. the sides at A, B and C are perpendicular to the triangular base and have the height of 8.6 ft, 7.1 ft and 5.5 ft, respectively. \n" ); document.write( "
Algebra.Com's Answer #807630 by ikleyn(52790)\"\" \"About 
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\n" ); document.write( "the \"highlight%28cross%28corner%29%29\" vertices of a triangular base of a truncated prism is defined by A, B, and C.
\n" ); document.write( "what is its volume if the length of AB =10 ft, BC = 9ft and CA is 12 ft.
\n" ); document.write( "the sides at A, B and C are perpendicular to the triangular base and have the height
\n" ); document.write( "of 8.6 ft, 7.1 ft and 5.5 ft, respectively.
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document.write( "The volume of a truncated triangular prim is\r\n" );
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document.write( "    V = \"A%2A%28%28e%5B1%5D+%2B+e%5B2%5D+%2B+e%5B3%5D%29%2F3%29\",\r\n" );
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document.write( "where A the area of a right section (the base) and e1, e2 e3 are the lengths of the lateral edges. \r\n" );
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document.write( "So, calculate the base area using the Heron's formula and given base edges 10 ft, 9 ft and 12 ft.\r\n" );
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document.write( "You may use this online calculator\r\n" );
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document.write( "https://keisan.casio.com/exec/system/1223267646\r\n" );
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document.write( "It will give you the base area of  44.039 ft^2.\r\n" );
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document.write( "Then multiply this area by  \"%288.6%2B7.1%2B5.5%29%2F3\" = 7.066 ft.\r\n" );
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document.write( "You will get the volume of your truncated prism of  V = 44.039 * 7.066 = 311.17 ft^3.    ANSWER\r\n" );
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