AMC 12 2003a Problem 13

The polygon enclosed by the solid lines in the figure consists of 4 congruent squares joined edge-to-edge. One more congruent square is attached to an edge at one of the nine positions indicated. How many of the nine resulting polygons can be folded to form a cube with one face missing?

Image:2003amc10a10.gif

$\mathrm{(A) \ } 2 \mathrm{(B) \ } 3 \mathrm{(C) \ } 4 \mathrm{(D) \ } 5 \mathrm{(E) \ } 6$