Question 937090
<pre>
A cube has 4 edges on the front square face, 4 edges on the back square face,
and 4 edges connecting the corners of the front square face to the
corners of the back square face.

{{{drawing(400,400,-1,10,-1,10,

line(0,0,6,0),line(0,2,6,2),line(0,4,6,4),line(0,6,6,6),
line(1,7,7,7),line(2,8,8,8),line(3,9,9,9),

line(0,0,0,6),line(2,0,2,6),line(4,0,4,6),line(6,0,6,6),
line(7,1,7,7),line(8,2,8,8),line(9,3,9,9),

line(0,6,3,9),line(2,6,5,9),line(4,6,7,9),line(6,6,9,9),
line(6,0,9,3),line(6,2,9,5),line(6,4,9,7)  )}}}



That's 12 faces. So since the sum of all 12 edges is 36, each edge is 36/12 
or 3.  The volume of a cube is the length of an edge raised to the third
power. [That's why they call raising to the third power "CUBING"].

Volume = (edge)<sup>3</sup> = 3<sup>3</sup> = 27.

Look at the picture, There are 9 1x1x1 cubes in the front, 9 in the middle,
and 9 in the back.  That's a volume of 27 small 1x1 cubes.

Edwin</pre>