1. **State the problem:** We need to find the volume of a rectangular container with a height of 6 feet and a base area of 72 square feet. 2. **Formula used:** The volume $V$ of a rectangular container is given by the formula: $$V = \text{base area} \times \text{height}$$ 3. **Apply the values:** Given base area = 72 square feet and height = 6 feet, substitute these into the formula: $$V = 72 \times 6$$ 4. **Calculate the volume:** $$V = 432$$ 5. **Interpretation:** The volume of water needed to fill the container to the brim is 432 cubic feet. Thus, the volume is **432 cubic feet**.