A triangular pyramid has 6 edges.
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dude its a triangular prism
A flat (2D) shape triangle has 3 straight edges. A triangular pyramid has 6 straight edges. A square pyramid has 8 straight edges. (Note, some vertical edges have already been counted as you move from one face to the next.)
faces-6 verticies-8 edges-12
A hexagon.
Such a shape does not exits. See the attached link for all 3d shapes with 6 plane faces.