Short answer: there isn't one. The polyhedron with the smallest number of faces (which is probably what you mean) is the tetrahedron, which has four faces.
Maybe you meant polygon, in which case the answer is a triangle.
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NO!!! A triangle is a 2-dimensional shape of three sides; archaically a 'trigon'. A polyhedron is a 3-dimensional solid of many sides.
No, a sphere is not a polyhedron.A polyhedron is a three-dimensional geometric figure whose sides are polygons.A regular polyhedron is a polyhedron whose faces are all congruent regular polygons.
Because that is how a polyhedron is defined.
There is no polyhedron with only three sides - a polyhedron being a 3-D shape with plane sides. Once you remove the restriction of plane sides you get several options, some of which are: A cylinder or a cylindrical shape with partial spheres at each end (like a medicine capsule). A segment of a torus (a doughnut with a chunk cut out of it). A spherical wedge - like a segment of a round cheese (that is, real cheese, not the processed plastic that some people consider cheese).
a 3d objet with all flat sides