To find the volume of a triangular prism, you can use the formula:
\[ \text{Volume} = \text{Base Area} \times \text{Height of the prism} \]
First, we need to determine the area of the triangular base. To do this, we can use the formula for the area of a triangle:
\[ \text{Area of triangle} = \frac{1}{2} \times \text{base} \times \text{height} \]
In your case, it looks like the "width" given is the base of the triangle, which is 4 feet, and the "height" of the triangle is 9 feet. So we compute the area of the triangle as follows:
\[ \text{Area of triangle} = \frac{1}{2} \times 4 , \text{feet} \times 9 , \text{feet} = \frac{1}{2} \times 36 , \text{square feet} = 18 , \text{square feet} \]
Now we can find the volume of the prism by multiplying the area of the base by the length of the prism:
\[ \text{Volume} = \text{Base Area} \times \text{Length of the prism} = 18 , \text{square feet} \times 16 , \text{feet} \]
Calculating that gives:
\[ \text{Volume} = 288 , \text{cubic feet} \]
Therefore, the volume of the triangular prism is 288 cubic feet.
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