Construct the following figures according to the teacher's instruction.

Investigate the possible shapes of the sections of a cube with the figures you constructed.[br]Investigate whether the cube can have the following shapes as cross-sections.[br][list=1][*]Scalene triangles;[br][/*][*]Isosceles triangles;[/*][*]Equilateral triangles;[/*][*]Rectangles;[/*][*]Rhombuses;[/*][*]Parallelograms;[/*][*]Trapeziums;[/*][*]Pentagons;[/*][*]Regular hexagons.[/*][/list]