Question

An architect is designing a glass greenhouse in the form of a triangular pyramid for the botanical gardens. Find the surface area of the triangular pyramid with a base of 100 ft., a base height of 86.6 ft., and a slant height of 120 ft.(1 point)
Responses

10,350 ft.2

10,350 ft. squared

23,220 ft.2

23,220 ft. squared

22,330 ft.2

22,330 ft. squared

21,660 ft.2

Answer 1

Base area = (1/2)(100)(86.6) = 4,330 ft².
Each lateral face area = (1/2)(100)(120) = 6,000 ft²; three faces → 18,000 ft².
Total surface area = 4,330 + 18,000 = 22,330 ft².

Answer: 22,330 ft.²