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The numbers given in the question are not consistent with the Euler characteristic and so there no simply connected polyhedron that meets the requirements.

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What three dimensional figure has 5 faces 6 vertices and 9 edges?

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What is a three dimensional figure that has five faces nine edges and six vertices?

A three-dimensional figure with five faces, nine edges, and six vertices is called a triangular prism. It consists of two triangular bases and three rectangular lateral faces. The triangular bases contribute three edges each, and the three additional edges connect the vertices of the triangles, resulting in the total of nine edges. The six vertices come from the three vertices of each triangular base.


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