Think about it, it is actually equivalent to the surface area of the Rubik's cube that does not rotate plus the surface area that protrudes after rotation, as shown in the figure:

The non-rotating surface area of the Rubik's Cube is (1+ 1+ 1) 2? *? 6? =? 9? *? 6? =? 54;

As shown in the figure, the area of the red part is: (the right length of the small right triangle is 1) 1 2? *? ( 1/2)? *? 8? =? 4;

So the surface area after rotation is: 54? +? 4? =? 58