pre-gmat wrote:Can you explain this more to me. I guess I am having a problem envisioning it. I understand thet 2 of teh sides will be full sized but DONT understand other 4 sides.
Two of the 6 sides will be full-sized (the white side and the side opposite) and 4 will be half-sized (the 4 sides "ringing" the white side). Let's call the area of a full side x and the area of a half side .5x; so, the entire surface area will be:
We're making our cut parallel to the sides to create two rectangular boxes with equal volume - in other words, we're cutting the cube in half.
Let's simplify to 2 dimensions. If you cut a square with sides of 1 to create two equally sized rectangles, each rectangle will have dimensions of 1 * 1/2. Now think of that square as the top face of a cube, and you're cutting all the way through instead of just the surface. The top of the shape you've created has dimensions of 1 * 1/2, as do the bottom and 2 of the sides. The surface along which the knife traveled is still a full square, as is the side opposite that one.
