Final answer:
To find the capacity of the storage container, calculate the volume of the frustum of the pyramid using the formula V = 1/3 * h * (A + sqrt(A * B) + B) and plug in the given values. The correct answer is 20m³.
Step-by-step explanation:
To find the capacity of the storage container, we need to calculate the volume of the frustum of the pyramid. The formula to calculate the volume of a frustum of a pyramid is V = 1/3 * h * (A + sqrt(A * B) + B), where A and B are the areas of the top and bottom bases, and h is the height of the frustum. In this case, the top base area (A) is 4m * 4m = 16m² and the bottom base area (B) is 2.5m * 2.5m = 6.25m². The height (h) is given as 3m. Plugging these values into the formula, we get V = 1/3 * 3m * (16m² + sqrt(16m² * 6.25m²) + 6.25m²). Simplifying this equation, we find that the capacity of the storage container is 20m³. Therefore, the correct answer is c) 20 m³.