9514 1404 393
Answer:
28.5 ft³
Explanation:
The side length of the base is 1/4 of the perimeter, so is ...
s = (10.1 ft)/4 = 2.525 ft
The area of the square base is the square of the side length, so is ...
B = s² = (2.525 ft)² = 6.375625 ft²
The volume is given by ...
V = 1/3Bh . . . . . where h is the height
V = 1/3(6.375625 ft²)(13.4 ft) ≈ 28.4778 ft³
The volume of the pyramid is about 28.5 ft³.