Answer:
- triangles: 240 ft²
- square: 100 ft²
- total: 340 ft²
Step-by-step explanation:
You want the face area, base area, and total area of the square pyramid with base edges 10 ft and slant height 12 ft.
Lateral area
The area of one triangular face is ...
A = 1/2bh
A = 1/2(10 ft)(12 ft) = 60 ft²
The area of the 4 triangles is 4×60 ft² = 240 ft².
Base area
The area of the square base is ...
A = s²
A = (10 ft)² = 100 ft²
The area of the square is 100 ft².
Total area
The total surface area is the sum of the lateral area and the base area:
total surface area = 240 ft² +100 ft²
total surface area = 340 ft²
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