Examine if the following are true statements: 

(i) The cube can cast a shadow in the shape of a rectangle. 

(ii) The cube can cast a shadow in the shape of a hexagon.

(i) The statement is true. Any cuboid form, such as a matchbox or a set of dice, can produce a rectangle-shaped shadow.

(ii) The statement is false. Since a hexagon is a six-sided plane while a cube can only cast a shadow of a four-sided plane.