There is no polyhedron that meets these requirements. But there are many possible non-polyhedral shapes: for example, a hemisphere, a cone, a torus (doughnut) sliced by a plane perpendicular to its axis.
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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.
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.
cube
A cube is a geometric shape which has 6 faces and 8 vertices ie .2 more vertices than faces
Any shape other than a cube.Any shape other than a cube.Any shape other than a cube.Any shape other than a cube.