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)![]() ![]() ![]() You can put this solution on YOUR website! The volume described in this problem is a truncated rectangular pyramid.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The volume is given by:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For this problem:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A1 = 180 * 20 = 3600\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A2 = 216 * 24 = 5184\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "h = 15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The volume is then:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Converting 62,520 cubic feet to cubic yards gives:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(65520 cu ft)(1 cu yd / 27 cu ft) = 2,426.67 cubic yds \n" ); document.write( " |