A triagular base pyramid hac 4 vertices, 6 edges and 4 faces
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Not sure about vertacies, but there are 6 vertices on a hexagon.
A triangular based pyramid has 4 vertices.
a triangle- based pyramid has 4 faces
A square based pyramid has 5 vertices.
five A triangular based prism has 5 A triangular based pyramid has 4 and there is no such thing as a triangular based prism pyramid - unless you mean a truncated pyramid (or a frustum) which is essentially a prism.