Question

Eight folding patterns are scattered around a triangular prism as shown in the illustration. Determine all those patterns that form a prism, when folded along the lines. No parts should overlap each other.

Accepted Answer

A prism has above $5$ sides.

Figure A: will fold to form a prism without repeating or overlapping any side.

Figure B: will fold to form a prism without repeating or overlapping any side.

Figure C: is shows symmetrical because of which, surfaces $4$ and $5$ will overlap. Hence, figure C is not the correct answer.

Figure D: will fold to form a prism without repeating or overlapping any side.

Figure E: Surfaces $5$ and $2$ will overlap. Hence, figure E is not the correct answer.

Figure F: Surfaces $5$ and $2$ will overlap. Hence, figure F is not the correct answer.

Figure G: surfaces $4$ and $5$ will overlap. Hence, figure G is not the correct answer.

Figure H: will fold to form a prism without repeating or overlapping any side.

Hence, A, B, D, and H are the patterns that when folded along the lines, will form the shown prism without overlapping each other.

Eight folding patterns are scattered around a triangular prism as shown in the illustration. Determine all those patterns that form a prism, when folded along the lines. No parts should overlap each other.

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