Question

a plane intersects a prism parallel to the base of the prism. the cross - section is a polygon with eight sides. the base of the prism has sides.

Explanation:

Step1: Recall property of prism cross - section

When a plane intersects a prism parallel to its base, the cross - section is congruent to the base.

Step2: Determine number of sides of base

Since the cross - section has 8 sides and is congruent to the base, the base has 8 sides.

Answer:

8