Geometry

Question Analysis:
This question tests calculation of total surface area of a triangular prism.
The focus is on correctly identifying all faces and their areas.

Key Concept Explanation:
Total Surface Area (TSA) = Lateral Area + 2 × Base Area.
For a triangular prism:
Lateral Area = Perimeter of base × Height.
Base Area = Area of the triangular face (use Heron’s formula or right-triangle shortcut).

Step-by-Step Solution:
Base Area: The base is a right triangle (3-4-5).
Area = ½ × 3 × 4 = 6 cm².
Lateral Area: Perimeter = 3 + 4 + 5 = 12 cm.
LSA = 12 × 10 = 120 cm².
TSA: LSA + 2 × Base A...