MathDB
Cube and unknown opposite face

Source:

November 20, 2005
geometry3D geometry

Problem Statement

The figure shown can be folded into the shape of a cube. In the resulting cube, which of the lettered faces is opposite the face marked xx?
[asy] defaultpen(linewidth(0.7)); path p=origin--(0,1)--(1,1)--(1,2)--(2,2)--(2,3); draw(p^^(2,3)--(4,3)^^shift(2,0)*p^^(2,0)--origin); draw(shift(1,0)*p, dashed); label("xx", (0.3,0.5), E); label("AA", (1.3,0.5), E); label("BB", (1.3,1.5), E); label("CC", (2.3,1.5), E); label("DD", (2.3,2.5), E); label("EE", (3.3,2.5), E);[/asy]
(A)  A(B)  B(C)  C(D)  D(E)  E \mathbf{(A)}\; A\qquad \mathbf{(B)}\; B\qquad \mathbf{(C)}\; C\qquad \mathbf{(D)}\; D\qquad \mathbf{(E)}\; E