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A square
Infinitely many.
Yes it can.
The answer depends on the inclination of the intersecting plane. The cross section can be a point, a triangle, a rectangle, a pentagon or a hexagon.
It will be the same shape as a square
Yes, but not a regular one.
No, a cube cannot have an octagonal cross-section.
A square.
A square
Infinitely many.
Yes it can.
Rectangle
The answer depends on the inclination of the intersecting plane. The cross section can be a point, a triangle, a rectangle, a pentagon or a hexagon.
It will be the same shape as a square
If it is lying along its length, and he cross section is, for example, a regular pentagon, then it will have no vertical lines.
It is a prism with a pentagonal cross-section
The following are some shapes having a square cross section: a cube, a cuboid, a square pyramid.