Not too sure but you may be thinking of a cube which has 6 same flat faces, 12 edges and 8 vertices
If they are flat, they are faces. If they are pointed, they are vertices and if they are thin and long they are edges.
triangula prism
i think it might be a circle but im not sure
This shape is a cube.
It has 2 flat faces, 1 curved face, 2 parallel edges and no vertices
Sphere
A hexagon is a plane (flat) figure so it has no faces. It has six sides (edges) and six vertices.
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.
Triangular prism (toblerone shape)
A cone would fit the given description.
6 flat surfaces - known as faces, 12 edges 8 vertices.