Final answer:
The height of the hexagonal pyramid, whose volume is 604.8 m³ and base area is 144 m², is 12.6 meters.
Step-by-step explanation:
The volume of a pyramid is calculated by the formula V = (1/3)Ah, where V is the volume, A is the area of the base, and h is the height of the pyramid. In this case, we are given that the volume V is 604.8 m³ and the area of the base A is 144 m². To find the height h, we rearrange the formula as h = 3V/A. Given our values, the height is h = 3(604.8 m³) / 144 m² = 12.6 m. Therefore, the height of the hexagonal pyramid is 12.6 meters.