A glass cube is drawn with all 12 of its edges showing. Treating the drawing as flat lines on paper, how many quadrilaterals are there in it?

The 6 faces all appear as four-sided figures. The front and back squares overlap in a 7th square. The top, bottom, left and right faces each have a small corner triangle cut off by an edge of the other square, leaving 4 more four-sided pieces. Total $6+1+4=11$.