Question

A pentagonal prism is cut by a plane perpendicular to the base. What is the shape of the cross section that is formed?

Answer 1

Perhaps more specific conditions are needed.

If it is a right prism, then the cross-section must be a rectangle. All of the lateral faces are perpendicular to the bases, and the cutting plane is perpendicular to the bases, so the angles of the cross-section would all be right angles.

If an oblique prism with irregular bases is allowed, then A, B, D, and E are all possible.

Answer 2

The cross section will be a rectangle.

Explanation:

Given is - a pentagonal prism is cut by a plane perpendicular to the base.

The shape of the cross section that is formed will be a rectangle.

Cutting perpendicular to the base means the cross section will be parallel to sides or lateral faces.

In a right pentagonal prism, the base is a pentagon and the lateral faces are rectangles.

So, the answer will be a rectangle(considering this prism is a right pentagonal prism)