Geometry

Question Analysis:
This question tests knowledge of how to find lateral surface area for a prism with a regular polygonal base.
The main focus is on calculating the perimeter of the base and multiplying it by the prism height.

Key Concept Explanation:
Lateral Surface Area = Perimeter of Base × Prism Height
Regular pentagon has 5 equal sides.

Step-by-Step Solution:
Side length = 5 cm
Perimeter = 5 × 5 = 25 cm
Prism height = 12 cm
Lateral surface area = 25 × 12 = 300 cm²

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