document.write( "Question 866566: I need some help on this volume problem. You are going to put a pyramid shape trophy in a box with the same dimensions. The dimensions are 5', 5', and 9'. What is the volume of the left over empty space?
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document.write( "Hope you can help! Thanks! \n" );
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Algebra.Com's Answer #522391 by jim_thompson5910(35256) ![]() You can put this solution on YOUR website! The connection with pyramids and rectangular prisms (ie \"boxes\") is this\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(Volume of Pyramid) = (1/3)*(Volume of Rectangular Prism)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note: This equation is true if they both have the same base area and same height.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The box or rectangular prism has a volume of V = L*W*H = 5*5*9 = 225 cubic feet.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the pyramid has a volume of 1/3 of that, equal to (1/3)*225 = 75 cubic feet.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The amount of empty space is equal to the difference of the two: 225-75 = 150\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The volume of empty space is 150 cubic feet \n" ); document.write( " |