1. **State the problem:** Find the volume of the solid figure composed of two connected rectangular prisms. 2. **Identify the dimensions:** - Left prism: length = 12 ft, width = 6 ft, height = 5 ft - Right lower extension prism: length = 8 ft, width = 4 ft, height = 2 ft 3. **Formula for volume of a rectangular prism:** $$V = \text{length} \times \text{width} \times \text{height}$$ 4. **Calculate volume of left prism:** $$V_1 = 12 \times 6 \times 5 = 360 \text{ ft}^3$$ 5. **Calculate volume of right prism:** $$V_2 = 8 \times 4 \times 2 = 64 \text{ ft}^3$$ 6. **Calculate total volume by adding volumes of both prisms:** $$V = V_1 + V_2 = 360 + 64 = 424 \text{ ft}^3$$ 7. **Final answer:** The volume of the solid figure is **424 ft^3**.