A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
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Fold the net one face at a time and track which shaded faces end up adjacent versus opposite.
Only (i) can correspond to the unfolded cube in Panel I.
Only (ii) can correspond to the unfolded cube in Panel I.
Both (i) and (ii) can correspond to the unfolded cube in Panel I.
Neither (i) nor (ii) can correspond to the unfolded cube in Panel I.
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The Correct Option isB
Solution and Explanation
Panel I shows a flat paper net with some faces shaded, and Panel II shows two folded cubes, (i) and (ii). Folding the net in your head, face by face, tells you which shaded faces end up next to each other and which end up opposite each other, and that pattern must match one of the two solid cubes.
Option (A), Only (i): tracing the fold shows that cube (i) places two shaded faces adjacent to each other in a way the net does not allow, so (i) fails to match the net.
Option (B), Only (ii): following the same fold, the shaded faces in cube (ii) land in exactly the positions the net predicts, both which faces touch and which faces sit opposite each other. This is consistent.
Option (C), Both (i) and (ii): since (i) already breaks the adjacency pattern from the net, both cubes cannot be correct together.
Option (D), Neither: this is ruled out because (ii) does match the net once the fold is traced carefully.
Since only cube (ii) reproduces the shading pattern of the folded net, option (B) is correct.
