What shape is formed by connecting the vertices of a cube?

When connecting the vertices of a cube, the shape formed depends on how the vertices are connected. If you consider all the vertices of a cube, there are 8 of them. However, if you connect only the vertices that lie on the same face of the cube, you would form a square since each face of a cube is a square. Each face consists of four vertices, and connecting these forms a square.

The other options do not accurately represent the shape formed when connecting vertices of a cube, especially if you focus on a single face at a time. A hexagon and an octagon do not appear in a single face of a cube, while a tetrahedron is a three-dimensional shape that connects only four vertices at a time, which does not represent the connection of the vertices of a cube in this context. Therefore, the most straightforward and clear answer regarding the shape formed when considering the vertices of a face of the cube is indeed a square.