Final answer:
To calculate the volume of a pyramid with a square base, we multiply the height (852 ft) by the square of the base side (145 ft), and divide the product by 3, resulting in a volume of 5967100 cubic feet.
Step-by-step explanation:
The volume of a pyramid is calculated using the formula V = (1/3) × base area × height, where the base area for a square base is the side length squared. In this problem, the height of the pyramid is 852 ft and each side of the square base is 145 ft. Therefore, the base area is 145 ft × 145 ft, and the volume V is computed as follows:
V = (1/3) × (145 ft × 145 ft) × 852 ft
Calculating the base area gives us 145 ft × 145 ft = 21025 ft². Next, we calculate the volume:
V = (1/3) × 21025 ft² × 852 ft
V = (1/3) × 17901300 ft³
V = 5967100 ft³
The volume of the pyramid is therefore 5967100 cubic feet.