document.write( "Question 1111892: The frustum has regular hexagon bases. The upper base measures 16 ft. on a side and the lower base measures 29 ft. on a side. The altitude of the frustum is 16 ft. Find the mass of the frustum, if its density is 99 lbs. per cu. ft.\r
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Algebra.Com's Answer #726941 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The frustum has regular hexagon bases. The upper base measures 16 ft. on a side and the lower base measures 29 ft. on a side. The altitude of the frustum is 16 ft. Find the mass of the frustum, if its density is 99 lbs. per cu. ft. \n" ); document.write( "---------- \n" ); document.write( "Find the volume. \n" ); document.write( "The side length of the hexagon between the bases (8 ft from either) is (29+15)/2 = 22.5 ft \n" ); document.write( "The area is ns^2*cot(180/n)/4 where n = # of sides & s = side length \n" ); document.write( "Area = 6*22.5^2*sqrt(3)/4 = 759.375*sqrt(3) sq ft \n" ); document.write( "Vol = Area*16 = 12150*sqrt(3) cubic ft \n" ); document.write( "------------ \n" ); document.write( "Mass = Vol*density \n" ); document.write( " \n" ); document.write( " |