The six surfaces of the new quadrangular prism are composed of the following parts:

The two sides have a length of 1 and an area of 1 square.

Two right-angled triangles with vertical right-angled sides are spliced into six parallelograms (both base and height are 1), and the area is 1.

Two rectangles (length 5, width 1), both of which have an area of 5,

Therefore, the total area is 4+ 55.

So the answer is: 4+55;