The figure below shows a prism. Which one of the following is a net of the prism?
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Worked solution
9
1. Identify the faces of the triangular prism
A triangular prism consists of 2 identical triangular bases and 3 rectangular lateral faces.
2. Evaluate the given nets by mental folding
Option (1): Folding the triangles up, the two outer rectangles will overlap when folded, leaving one side open.
Option (2): The triangles are attached to different rectangles in a way that they will not form parallel bases when folded.
Option (3): The three rectangles form the lateral surface (a tube). The two triangles are attached to the top and bottom of the same rectangle, so when folded, they will form the parallel triangular bases at opposite ends. This forms a closed triangular prism.
Option (4): The rectangles attached to the triangles will not align properly to form the lateral faces.
(3)
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