Geometry

Question Analysis:
This problem applies the concept of total surface area of a triangular prism, including real-world context (a tent).

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 (6-8-10).
Area = ½ × 6 × 8 = 24 ft².
Lateral Area: Perimeter = 6 + 8 + 10 = 24 ft.
LSA = 24 × 12 = 288 ft².
TSA: LS...