1. **State the problem:** We need to find the volume of a right-angled triangular prism with base sides 23 m and 38 m, and depth 11 m. 2. **Formula for volume of a prism:** $$\text{Volume} = \text{Area of base} \times \text{depth}$$ 3. **Calculate the area of the triangular base:** Since the triangle is right-angled, the area is $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 23 \times 38$$ 4. **Calculate the area:** $$\text{Area} = \frac{1}{2} \times 23 \times 38 = \frac{1}{2} \times 874 = 437$$ 5. **Calculate the volume:** $$\text{Volume} = 437 \times 11 = 4807$$ 6. **Final answer:** The volume of the prism is $$4807.0\ \text{m}^3$$ Rounded to 1 decimal place, the volume is 4807.0 m³.