Geometric Surfaces

Concentric spheres are spheres that share a common center.

The only regular polyhedron that is a prism is a cube.

Yes. A number of regular pyramids can be combined to form any of the regular polyhedra. The regular pyramids would all be congruent. The bases of the regular pyramids would be the faces of the regular polyhedra. All n regular pyramids (for an n -sided regular polyhedron) would share a common vertex: the point from which all vertices of the regular polyhedron are equidistant. Such regular pyramids, united with their interiors, would form a geometric solid that would be congruent to a regular polyhedron and its interior.

A polyhedron inscribed in a sphere touches the sphere with all of its vertices. A polyhedron circumscribed about a sphere has faces that are all tangent (intersect at one point) to the sphere.

The point from which all the vertices of the polyhedron are equidistant