The figure shows a prism. Which of the following is not the net of the prism?

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Worked solution

6

1. Identify the number of faces required for a triangular prism

A triangular prism consists of 22 triangular bases and 33 rectangular lateral faces, making a total of 55 faces.

2. Analyse the given nets to find the one that does not match the required faces or folding pattern

Option (2), (3), and (4) all contain exactly 33 rectangles and 22 triangles, and can be mentally folded to form a triangular prism.
Option (1) describes a net with a rectangle, a triangle, and a row of three rectangles, which totals 44 rectangles and 22 triangles (66 faces). This exceeds the 55 faces of a triangular prism.

Answer

Net (1) (option 1)

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