Yes, but not a regular one.
Along any edge
It depends on the angle of the plane of the cross section. If it is parallel to the cube's face (or equivalently, two adjacent edges) the cross section will be a square congruent to the face. If the plane is parallel to just one edge (and so angled to a face), the cross section will be a rectangle which will have a constant width. Its length will increase, remain at a maximum level and then decrease. If neither, it will be a hexagon-triangle-hexagon-triangle-hexagon (triangles when passing through a vertex).
the type of shape is a square A Square, An Equalateral Triangle, A Cube, A Hexagon, A Pentagon, A DoDecaHedron, An Octogon, A Decagon. A Square, An Equalateral Triangle, A Cube, A Hexagon, A Pentagon, A DoDecaHedron, An Octogon, A Decagon. A Square, An Equalateral Triangle, A Cube, A Hexagon, A Pentagon, A DoDecaHedron, An Octogon, A Decagon.
A cube has 8, a pentagon has 5...
The cross-section of a cuboid is unified in the shape of a square or a rectangle.
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.
Along any edge