cube
It is a square based pyramid that has 5 faces, 8 edges and 5 vertices
It is a triangular prism that has 6 vertices, 5 faces and 9 edges
A 3D 5 sided shape is called a dodecahedron. It is a solid with 20 vertices, 30 edges and 12 equal pentagonal triangular faces.
A triangular prism would fit the given description which has 5 faces, 9 edges and 6 vertices
pyramid
cube
cube
A pyramid
It is a square based pyramid that has 5 faces, 8 edges and 5 vertices
A triangular prism.
It is a triangular prism that has 6 vertices, 9 edges and 5 faces.
Triangular prism
It cannot be a simply connected 3d shape because it does not satisfy the Euler characteristic.
A shape with 5 faces and 5 vertices is a quadrilateral based pyramid
It is a triangular prism that has 6 vertices, 5 faces and 9 edges
There is no 3-d shape with 4 and 1 = 5 triangular faces.