Geometry

Question Analysis:
This question involves a triangular prism, asking for its total surface area.
The main focus is combining lateral surface area with 2 base areas.

Key Concept Explanation:
Total Surface Area = Lateral Surface Area + 2 × Area of Base
Lateral Surface Area = (sum of triangle sides) × prism height
Area of right triangle = ½ × leg₁ × leg₂

Step-by-Step Solution:
Perimeter = 5 + 12 + 13 = 30 cm
Lateral Area = 30 × 10 = 300 cm²
Base Area: The base is a right triangle (5-12-13).
Base Area = ½ × 5 × 12 = 30 cm²
Total Surface Area =...