its a triangle, circle,
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A shape that has fewer than 8 faces and fewer than 10 edges is a triangular prism. A triangular prism has 5 faces (2 triangular faces and 3 rectangular faces) and 9 edges. It meets the criteria of having fewer than 8 faces and fewer than 10 edges.
pyramid
A regular tetrahedron (triangular pyramid).
A cube has 6 faces. That leaves us with two faces. Any 2-dimensional shape will have 2 faces, one on the visible side and the other on the reverse side. I don't think I've convinced myself.
There is no such shape. The only convex shape that has four faces is a tetrahedron, and that has four vertices, not 5.