Answer:
147.6 m²
Explanation:
You want the surface area of a triangular pyramid with base sides of length 8 m and a slant height of 10 m. (The altitude of the base triangle is approximately 6.9 m.)
Surface area
The surface area is the sum of the areas of the triangular faces.
SA = 1/2(8 m)(6.9 m) + 3 × 1/2(8 m)(10 m)
= 1/2(8 m)(6.9 m + 3×10 m) = (4)(36.9) m² = 147.6 m²
The surface area of the pyramid is 147.6 square meters.