Answer:
147.7 m²
Step-by-step explanation:
Area of the triangular faces = 1/2 × base × height
A triangular pyramid has lateral faces with bases of 8 meters and heights of 10 meters.
Hence: 1/2 × 8 × 10 = 40 m²
A triangle has 3 faces, hence, area of the 3 faces = 3 × 40 m²
= 120m²
The area of the base of the pyramid is 27.7 square meters.
Hence, the surface area of the pyramid is calculated as:
Area of the 3 lateral faces of the pyramid + Base area
= 120m² + 27.7 m²
= 147.7 m²
The surface area of the pyramid is 147.7 square meters.
