The task is to determine which given option can be folded into a cube with the faces as shown in the problem description. This requires understanding of how the faces of a cube relate to one another when folded.
Each face of a cube is a square, and when unfolded, these faces are laid out in such a way that no two adjacent squares of the net can share a position normally occupied by opposite faces on the folded cube.
Let's consider how cube nets work: Generally, a net for a cube includes a central square with one or more squares attached to each side. The simplest and most common configuration is a cross shape, which consists of a row of four squares, with three of those squares having an additional square attached.
Now, each face must be adjacent to its lateral (left or right) and vertical (up or down) neighbors when folded, without opposite faces placed to touch each other. This characteristic must be satisfied by the correct net configuration.
The above configuration (Fig 3) shows a cross shape configuration:-
It has the central square with squares attached to the top, bottom, left, and right. None of these squares are placed such that opposite faces will meet when folded into a cube.
Therefore, Fig 3 can be folded into a cube.
Other configurations do not satisfy the cube net conditions when folded, as they will result in some opposite faces touching, which is not possible in a cube. Thus, the correct choice is Fig 3.
