Cube

The cube, or hexahedron, is one of the five Platonic solids. It has 6 square faces, joining 3 to a triangular vertex. It is the 3-dimensional hypercube.

It is the only Platonic solid that can tile 3-dimensional space. This results in the cubic tiling.

Vertex coordinates
The vertices of a cube of edge length 1, centered at the origin, are
 * (±1/2, ±1/2, ±1/2).

Square prism
A square prism is a variant of the cube constructed as the prism of a square. The two bases are squares, while the 4 lateral sides are rectangles. It can be represented as x x4o.

Cuboid
A cuboid, or rectangular prism, is a prism based on a rectangle. It has three different edge types and 6 rectangles as faces, in 3 parallel pairs. It can be represented as x x x.