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Since you use the term "faces" of a shape, you may be referring to polyhedra,which are three dimensional solids. There is no maximum number of faces a polyhedron can have. But for regular polyhedra (a special case where all faces are congruent regular polygons), the regular polyhedron with the most faces is the icosahedron, which has 20 faces, each of them an equilateral triangle. The most familiar regular polyhedron is the cube which has six square faces.
Six faces.
A regular tetrahedron (triangular pyramid).
It is a Dodecahedron!
A regular hexahedron (a.k.a.: a "cube") has six squarefaces.However "hexahedron" simply means "six faces", so a non-regular hexahedron could have faces of other shapes. For example:A triangular dipyramid has six triangular faces.A parallelepiped has six parallelogram faces.A triangular trapezohedron has six kite-shaped faces.A pentagonal pyramid has a pentagonal base, and five triangular sides.