A triangular prism would fit the given description.
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A vertex is the name of a corner on a solid where three or more faces meet (plural = vertices).
The solid you are describing is called a cylinder. It has two circular faces, one curved face, and no vertices.
Triangular prism
Well, a triangular prism has 5 faces and 6 vertices, but it has 9 edges. So I'm not sure.
triangular prism