Geometry

Question Analysis:
This question asks you to recognize the type of prism based on a 5-sided polygonal base and corresponding number of lateral faces.
The main focus is matching base shape and side count.

Key Concept Explanation:
A pentagonal prism has:
Two pentagon (5-sided) bases
Five rectangular lateral faces, one for each side of the pentagon

Step-by-Step Solution:
Base = pentagon → suggests a pentagonal type
5 rectangular faces = matches 5 sides of base
That’s exactly a pentagonal prism

Option Analysis:
A. Pentagonal prism ✅ Correct: pentagon base, 5 rectangular faces
B. Rectangular prism ❌ Has rectangle bases and 4 lateral faces
C. Octagonal prism ❌ Would have 8-sided bases and 8 rectangles
D. Pyramid with pentagon base ❌ Onl...