document.write( "Question 1077393: Which is larger, the volume of the prism or the volume of the pyramid?
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document.write( "The prism cube is 10 m x 10 m x 10 m.
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document.write( "The pyramid is a square pyramid.
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document.write( "The square Is 10 m x 10 m and it is 10 m high.
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Algebra.Com's Answer #691856 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! The prism (which is more specifically a cube in this case) is larger by volume\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Volume of cube = 10*10*10 = 1,000 cubic meters\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Volume of square pyramid = (1/3)*10*10*10 = 1000/3 = 333.33 cubic meters (approximately)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Essentially, we can fit 3 of these pyramids into 1 cube assuming we can cut the pyramid up into smaller pieces. The formulas I used are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Volume of rectangular prism = (length)*(width)*(height) \n" ); document.write( "volume of rectangular pyramid = (1/3)*(length)*(width)*(height) \n" ); document.write( " |