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A particular prism has ten faces. How many edges does it have?

Question

A particular prism has ten faces. How many edges does it have?

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Solution

This question can be answered using Euler's formula for polyhedra, which states that Faces + Vertices - Edges = 2.

However, we only know the number of faces (10), and we don't have the number of vertices.

For a prism, the number of vertices and edges depends on the shape of the base. For example, a cube (which is a prism) has 6 faces, 8 vertices, and 12 edges.

Without knowing the shape of the base of the prism, we can't determine the exact number of edges.

This problem has been solved

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