1. **State the problem:** We need to find the volume of a three-dimensional rectangular prism composed of two connected rectangular sections. 2. **Identify dimensions:** - Larger section: length = 13 in, height = 4 in, depth = 2 in - Smaller section: length = 5 in, height = 2 in, depth = 2 in 3. **Formula for volume of a rectangular prism:** $$\text{Volume} = \text{length} \times \text{height} \times \text{depth}$$ 4. **Calculate volume of larger section:** $$V_1 = 13 \times 4 \times 2 = 104$$ cubic inches 5. **Calculate volume of smaller section:** $$V_2 = 5 \times 2 \times 2 = 20$$ cubic inches 6. **Calculate total volume by adding volumes of both sections:** $$V = V_1 + V_2 = 104 + 20 = 124$$ cubic inches 7. **Final answer:** The total volume of the combined prism is **124 cubic inches**.