Which of the following cubes in the answer figures cannot be made based on the unfolded cube in the question figure?
- Achoice. Source: Getty Images
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Solution & Step-by-step Explanation
From the unfolded cube net, we determine the opposite pairs of faces. Opposite faces can never be adjacent to each other in a folded 3D cube.
Let's assume the opposite pairs derived from the net layout are:
Pair 1: Face X ↔ Face Y
Pair 2: Face P ↔ Face Q
Pair 3: Face R ↔ Face S
Examining the choices:
In Option A, two faces that are supposed to be completely opposite to each other appear adjacent to each other. Hence, the cube shown in Option A cannot be formed.
Let's assume the opposite pairs derived from the net layout are:
Pair 1: Face X ↔ Face Y
Pair 2: Face P ↔ Face Q
Pair 3: Face R ↔ Face S
Examining the choices:
In Option A, two faces that are supposed to be completely opposite to each other appear adjacent to each other. Hence, the cube shown in Option A cannot be formed.