You are describing a cube. A cube has 6 square faces.
hexagonal prism
rectangular prism
squrae
pyramid
A 3d shape with 5 faces can be a square pyramid
the name of a shape with four faces is a square or rectangle.
hexagonal prism
rectangular prism
squrae
pyramid
A 3d shape with 5 faces can be a square pyramid
A cube.
sqare based pyramid
A Pyramid
The simplest such shape is PYRAMID.
A square [based] pyramid.
square-based pyramid