document.write( "Question 937090: If the sum of all edges of cube is 36 then find its volume \n" ); document.write( "
Algebra.Com's Answer #570541 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "A cube has 4 edges on the front square face, 4 edges on the back square face,\r\n" );
document.write( "and 4 edges connecting the corners of the front square face to the\r\n" );
document.write( "corners of the back square face.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "That's 12 faces. So since the sum of all 12 edges is 36, each edge is 36/12 \r\n" );
document.write( "or 3.  The volume of a cube is the length of an edge raised to the third\r\n" );
document.write( "power. [That's why they call raising to the third power \"CUBING\"].\r\n" );
document.write( "\r\n" );
document.write( "Volume = (edge)3 = 33 = 27.\r\n" );
document.write( "\r\n" );
document.write( "Look at the picture, There are 9 1x1x1 cubes in the front, 9 in the middle,\r\n" );
document.write( "and 9 in the back.  That's a volume of 27 small 1x1 cubes.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );