The cross sections of a cube can vary based on the angle and position of the cut. Common cross sections include a square when cut parallel to its faces, a rectangle when cut at an angle to the faces, and a triangle when cut diagonally through the cube. Additionally, if the cut is made through the vertices, the cross section can also form a hexagon. In general, the type of shape produced depends on the orientation and position of the slicing plane.
A square
Yes it can.
Infinitely many.
It will be the same shape as a square
The following are some shapes having a square cross section: a cube, a cuboid, a square pyramid.
No, a cube cannot have an octagonal cross-section.
A square.
A square
Yes it can.
Infinitely many.
Rectangle
Yes, but not a regular one.
It will be the same shape as a square
The following are some shapes having a square cross section: a cube, a cuboid, a square pyramid.
Cube, Cuboid. Any prism with a quadrilateral cross section
Along any edge
equilateral, isosceles, and scalene.