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A prism with 10 faces would have 16 vertices.

A pyramid with 10 faces would have 10 vertices.

Since your figure is neither of these, you need to tell us what it is.

In case your numbers were incorrect, here are the formulas:

A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges.

A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges.

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Q: How many edges if there is 10 faces and 12 vertices?
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