Question: What is the volume?
2 ft
3 ft
1 ft
1. **State the problem:** We need to find the volume of a triangular prism with a base length of $3$ ft, a height (altitude) of $2$ ft, and a depth (length of the prism) of $1$ ft.
2. **Formula for volume of a triangular prism:**
$$\text{Volume} = \text{Area of triangular base} \times \text{depth}$$
3. **Calculate the area of the triangular base:**
The area of a triangle is given by:
$$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$
Substitute the values:
$$\text{Area} = \frac{1}{2} \times 3 \times 2$$
4. **Simplify the area calculation:**
$$\text{Area} = \frac{1}{2} \times 6 = 3$$
5. **Calculate the volume:**
$$\text{Volume} = \text{Area} \times \text{depth} = 3 \times 1 = 3$$
6. **Final answer:**
The volume of the triangular prism is $3$ cubic feet.