There are five Platonic solids:
Tetrahedron (or triangular pyramid): 4 triangular faces
Cube: 6 square faces
Octahedron: 8 triangular faces
Dodecahedron: 12 pentagonal faces
Icosahedron: 20 triangular faces.
Although not a Platonic solid, some people consider a sphere to be a regular 3d shape.
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Infinitely many.
It is impossible to name and draw ALL 3D shapes - there are infinitely many possibilities.
cylinder
The special features of 3D shapes are they all are 3D which means they are fat but 2D shapes are flat they can not stand up.
Infinitely many.