Final answer:
The volume of a pyramid with a square base of side length 14.4 m and a height of 15.3 m is 1058.7 m³.
Step-by-step explanation:
To find the volume of a pyramid with a square base, we use the formula V = (1/3) × base area × height. The base area of a square is calculated as base length squared, so for a square with side length 14.4 m, the base area is 14.4 m × 14.4 m.
Base area = 14.4 m × 14.4 m = 207.36 m².
Using the pyramid volume formula: V = (1/3) × 207.36 m² × 15.3 m, we get the volume of the pyramid.
Volume = (1/3) × 207.36 m² × 15.3 m = 1058.7 m³. The volume of this pyramid is 1058.7 cubic meters (m³).