document.write( "Question 1049364: A wooden column has the form of a regular octagonal prism. Its base edge is 2. 25 meters and its height is 4. 75 meters. Find the weight of the column, Allowing a density of 0. 8 gram per cubic. \n" ); document.write( "
Algebra.Com's Answer #664940 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! We want the volume of the column \n" ); document.write( ": \n" ); document.write( "Volume(V) = area of the regular octagon * its height \n" ); document.write( ": \n" ); document.write( "Area of a regular polygon = ((a^2)n) / (4*tan(360/2n)), where a is length of side, n is the number of sides \n" ); document.write( ": \n" ); document.write( "Area of regular octagon = ((2.25^2)6) / (4*tan(360/12)) = 13.1528 \n" ); document.write( ": \n" ); document.write( "V = 13.1528 * 4.75 = 62.4758 \n" ); document.write( ": \n" ); document.write( "************************************************ \n" ); document.write( "density = 0.8 gram per cubic what? \n" ); document.write( ": \n" ); document.write( "student answers - 0.8 gram per cm^3 \n" ); document.write( ": \n" ); document.write( "our volume is 62.4758 m^3 \n" ); document.write( ": \n" ); document.write( "there are 1 x 10^6 cm^3 in 1 m^3 \n" ); document.write( ": \n" ); document.write( "therefore \n" ); document.write( ": \n" ); document.write( "62.4758 m^3 = 62,475,800 cm^3 \n" ); document.write( ": \n" ); document.write( "weight = 62,475,800 * 0.8 = 49,980,640 grams \n" ); document.write( "************************************************ \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |