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A triangular prism has 6 vertices.

A pyramid whose base is a polygon with n sides (n > 2) has n+1 vertices.

So the answer is 5 - n more vertices.

Incidentally, this shows that a pentagonal based pyramid (n = 5) has the same number of vertices as a triangular prism.

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Q: How many more vertices does a trianglular prism to a pyramid?
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