If it is a polyhedron, then four or more faces and four or more corners.
A square pyramid is a body (not a figure) with five faces and five corners.A pentagon is a figure with five sides (not five faces) and five corners.
A pyramid with a four sided base has five faces and five corners.
A cube. Vertices are corners and a cube has 8 corners. Faces are the flat surfaces on three dimensional shapes a cube has 6 faces.
A quadrilateral based pyramid.
A pyramid. It has a square base (4 corners) and four faces converging to a point (the fifth corner). You might be referring to a pentagon which has five sides and five corners.
A prism has six corners - three at each end, and five faces - the three plane and two "ends".
One possible pair is a cube and a parallelepiped. Vertices and corners are the same thing!
A pyramid with a rectangular (square) base has:Eight edges,Five vertexes (corners)Five faces
A triangular prism.
A cone has faces but no corners.