1. **State the problem:** We need to find the volume of a triangular prism with a base triangle of base length 8 inches and height 4 inches, and the prism length (depth) is 10 inches. 2. **Formula for volume of a triangular prism:** $$\text{Volume} = \text{Area of triangular base} \times \text{length}$$ 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 given values: $$\text{Area} = \frac{1}{2} \times 8 \times 4$$ 4. **Simplify the area calculation:** $$\text{Area} = \frac{1}{2} \times 8 \times 4 = \cancel{\frac{1}{2}} \times \cancel{8} \times 4 = 4 \times 4 = 16$$ 5. **Calculate the volume:** $$\text{Volume} = \text{Area} \times \text{length} = 16 \times 10 = 160$$ 6. **Final answer:** The volume of the triangular prism is **160 cubic inches**.