It could be a non-polyhedral shape. If it is a polyhedron, it can be a quadrilateral based pyramid or a triangle based prism.
Triangular pyramid. Only 4 faced solid.* * * * *True, it is the only 4 faced solid but the question is about a five faced solid, anyway!However, there is no simply connected solid with the above numbers becasue they do not satisfy the Euler characteristic. This requires that Faces + Vertices (corners) = Edges + 2
A pentagon
Despite the blind answer of many uneducated users of this site, a pentagon is 2 dimensional with 5 SIDES, thus not a solid figure. A pentahedron, though, is a solid figure of five FACES. PENTAHEDRON
triangular prism
A square based pyramid
pentagon
I was wondering the SAME
square based pyramid, And vertexes is not a word, they are called a vertex(singular) or vertices(plural)
Pyramid
A solid figure with five faces is called a pyramid. Specifically, a triangular pyramid, or tetrahedron, has four triangular faces, while a square pyramid has one square base and four triangular faces, totaling five. The pyramid's faces meet at a single point called the apex.
Not aware of any solid figure with 2+3=5 rectangular faces or bases.
square pyramid rectangular prism