To find the volume of a triangular prism, you can use the formula:
\[ \text{Volume} = \text{Base Area} \times \text{Length} \]
For a triangular prism, the base area is given by the formula for the area of a triangle:
\[ \text{Base Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
In this case, we have:
- Base (width) = 4 feet
- Height of the triangle = 9 feet
- Length of the prism = 16 feet
First, calculate the base area:
\[ \text{Base Area} = \frac{1}{2} \times 4 , \text{ft} \times 9 , \text{ft} = \frac{1}{2} \times 36 , \text{ft}^2 = 18 , \text{ft}^2 \]
Now, calculate the volume of the prism:
\[ \text{Volume} = 18 , \text{ft}^2 \times 16 , \text{ft} = 288 , \text{ft}^3 \]
Thus, the volume of the triangular prism is \( \boxed{288 , \text{ft}^3} \).