9514 1404 393
Answer:
9.2 ft³
Explanation:
The side length of the square base is 1/4 of the perimeter, so is ...
s = P/4 = (7.4 ft)/4 = 1.85 ft
The area of the base is the square of this, or ...
A = s² = (1.85 ft)² = 3.4225 ft²
The volume of the pyramid is given by ...
V = 1/3Bh = (1/3)(3.4225 ft²)(8.1 ft) = 9.24075 ft²
The volume of the pyramid is about 9.2 cubic feet.