Any kind of cube, prism, or pyramid (other than a circular prism a.k.a a cylinder or a circular pyramid a.k.a. a cone)
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The flat side so the solid that lays flat without moving.
There are many. All polyhedra have ONLY flat faces but many other shapes have flat faces such as a hemisphere or an octant or a cylinder.
The shape of a cylinder has two flat faces and a circular body
You probably mean the Platonic Solids, they are the only five shapes constructed from the same faces.
Spheres have no faces.