the faces of the cubes you see on a 3x3x3 is 54 but if you take it apart there are 20 pieces/cubes and 1 core/center with 6 middle pieces/cubes attached to it. There are 8 corner pieces/cubes and 12...
That depends on the size of the little boxes.If they're all 1-cubic-foot boxes, then you can fit (7 x 7 x 8) = 392 of them in there.And by the way ... 7 x 7 x 8 is not a "cube".