1. The problem is to find the volume of the bottom-left rectangular prism with given dimensions 3 ft, 5 ft, 6 ft, 7 ft, and 2 ft. 2. The volume of a rectangular prism is calculated by multiplying its length, width, and height: $$\text{Volume} = \text{length} \times \text{width} \times \text{height}$$ 3. Since the prism is stepped or composed of parts, we break it into two rectangular prisms and find their volumes separately, then add them. 4. First prism dimensions: length = 3 ft, width = 5 ft, height = 6 ft. 5. Volume of first prism: $$V_1 = 3 \times 5 \times 6 = 90$$ cubic feet. 6. Second prism dimensions: length = 7 ft, width = 2 ft, height = 6 ft (height same as first prism). 7. Volume of second prism: $$V_2 = 7 \times 2 \times 6 = 84$$ cubic feet. 8. Total volume: $$V = V_1 + V_2 = 90 + 84 = 174$$ cubic feet. 9. Therefore, the volume of the stepped rectangular prism is $$\boxed{174}$$ cubic feet.