Final answer:
The volume of the pyramid is approximately 102.3 cubic meters.
Step-by-step explanation:
To find the volume of a pyramid with a square base, we can use the formula V = (1/3)Bh, where B is the area of the base and h is the height of the pyramid. In this case, the perimeter of the base is 15.2 m, so the length of each side of the square base is 15.2 m / 4 = 3.8 m. The area of the base is then (3.8 m)^2 = 14.44 m^2. Plugging these values into the volume formula, we get V = (1/3)(14.44 m^2)(21.3 m) = 102.32533333 m^3. Rounding to the nearest tenth, the volume is approximately 102.3 cubic meters.