Possibly, a pentagon-based pyramid.
Pyramid with a hexagonal base
hexagonal pyramid
A hexagonal pyramid
A cube has only one shape and that is of a cube! It has six faces.
The solid shape/figure that has six rectangles as faces is called a rectangular prism. The general term for any shape with six faces, regardless of shape is a hexahedron.
A ditetrahedron (two triangular pyramids stuck together base-to-base) or, more boringly, a cube.
cube
a hexagon
A pyramid with a hexagonal base has a six sided base and 6 triangular faces.
Pentagonal pyramids have six faces, ten edges, and six vertices. One of the faces is a pentagonal base, the rest are triangular.
A Cuboid has 6 rectangular faces.
A circle