document.write( "Question 1048810: Two prism are constructed, one with its base a regular hexagon 6 in. on a side and the other with its base a rhombus whose diagonals are 12 inches and 9 inches. If their altitudes are equal, compare their volumes. \n" ); document.write( "
Algebra.Com's Answer #664540 by ikleyn(52879)\"\" \"About 
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\n" ); document.write( "Two prism are constructed, one with its base a regular hexagon 6 in. on a side and the other with its base a rhombus
\n" ); document.write( "whose diagonals are 12 inches and 9 inches. If their altitudes are equal, compare their volumes.
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\n" ); document.write( "\n" ); document.write( "It is the same as to compare the areas of their bases.\r
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document.write( "In the first case you have 6 (six) regular triangles at the base with the side of 6 in each.\r\n" );
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document.write( "So, their total area is \"6%2A%281%2F2%29%2A6%2A6%2A%28sqrt%283%29%2F2%29\" = \"54%2Asqrt%283%29\" sq.in.\r\n" );
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document.write( "In the second case you have 4 (four) right-angled triangles with the legs 6 in and 4.5 in.\r\n" );
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document.write( "Their total area is \"4%2A%281%2F2%29%2A6%2A4.5\" = 54 sq.in.\r\n" );
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document.write( "Can you make a conclusion based on this data?\r\n" );
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