A two-dimensional net with five faces, nine edges, and six vertices represents which three-dimensional figure?

To determine the correct three-dimensional figure represented by a two-dimensional net with five faces, nine edges, and six vertices, it's essential to analyze the properties of polyhedra.

A triangular prism has two triangular bases and three rectangular lateral faces, totaling five faces. The characteristics of a triangular prism align perfectly with the net data provided: it has six vertices (three on each triangular base), nine edges (three edges from each triangular base and three connecting the bases), and five faces.

While other options may have different combinations of faces, edges, and vertices, a triangular prism remains the only figure with the exact match for all three characteristics as listed in the question. Therefore, a net consisting of five faces, nine edges, and six vertices undeniably and accurately represents a triangular prism.