1. The problem asks for the volume of a right rectangular pyramid with base length 12 feet, base width 9 feet, and height 18 feet.
2. The formula for the volume $V$ of a right rectangular pyramid is:
$$V = \frac{1}{3} \times \text{base area} \times \text{height}$$
where the base area for a rectangle is:
$$\text{base area} = \text{length} \times \text{width}$$
3. Calculate the base area:
$$12 \times 9 = 108 \text{ square feet}$$
4. Substitute the base area and height into the volume formula:
$$V = \frac{1}{3} \times 108 \times 18$$
5. Simplify the multiplication:
$$108 \times 18 = 1944$$
6. Now divide by 3:
$$\frac{1944}{3} = 648$$
7. Therefore, the volume of the pyramid is:
$$\boxed{648}$$ cubic feet.
This corresponds to answer choice B.
Pyramid Volume C99Bbf
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.