What type of faces does a hexahedron have?

Answer 1

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.

Answer 2

It is a solid shape with six faces. There are seven topologically distinct convex shapes and three concave ones. The faces can be triangles, quadrilaterals or pentagonal.