Question:

Figure 1 shows an unfolded cuboid (net). Below are four fully-folded cuboids. Identify the cuboid(s) that can be unfolded as Figure 1.

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For nets that are a side-band plus two ends, reverse-wrapping the band gives a second valid folding with identical adjacencies—often yielding two correct 3D views.
Updated On: Aug 28, 2025
  • A
  • B
  • C
  • D
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The Correct Option is B, C

Solution and Explanation

Step 1: Map adjacencies from the net.
The long strip of four rectangles wraps around the sides in a loop; the two striped squares attach to adjacent rectangles and become the top and bottom. The single diagonal panel lies on the second rectangle of the loop.
Step 2: Fold mentally.
When the strip is wrapped either clockwise or counterclockwise around the vertical axis (a 180° flip of the net before folding), the resulting cuboid is the same up to turning the finished solid. This produces two valid visible placements of the diagonal panel: on the front or on the back, with the vertical-band order still matching.
Step 3: Match options.
Both (B) and (C) respect the loop order of the banded faces and keep the top/bottom striped squares adjacent to the correct sides. Options (A) and (D) break these adjacencies.
Therefore \(\boxed{\text{(B) or (C)}}\) are acceptable.
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