Question:

The following figure is folded to form a cube. Which symbol will appear on the face opposite to $\triangle$?

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In cube nets, a face’s opposite is the only face that is \emph{not} edge-adjacent to it in the net. Identify the three neighbors first; the remaining nonneighbor becomes the opposite on folding.
Updated On: Aug 19, 2025
  • $\square$
  • $\bigstar$
  • $\bullet$
  • $\blacklozenge$
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The Correct Option is C

Solution and Explanation


Step 1: Note adjacency in the net.
In the given cross-shaped net, the $\triangle$ face shares edges with three faces (those directly touching it in the flat layout). The face that will be opposite the $\triangle$ in the folded cube is the unique face that does not share an edge with $\triangle$ and is not co-linear with it in the final wrap.
Step 2: Simulate the fold mentally.
Fold the horizontal strip inward to form the lateral surface, then fold the remaining flap to close the cube. Under this folding, the $\bullet$ face comes to the position directly opposite $\triangle$ (while the other three adjacent faces wrap around it as neighbors).
Step 3: Conclusion.
\[ \boxed{\text{Opposite to }\triangle\text{ is }\bullet} \]
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