1. **State the problem:** Find the volume of a stepped rectangular prism with given dimensions. 2. **Understand the shape:** The solid can be divided into three rectangular prisms (steps): - Top left prism: width 5 cm, depth 6 cm, height 7 cm - Middle step: width 8 cm, depth 6 cm, height 6 cm - Lower right prism: length 13 cm, depth 6 cm, height 3 cm 3. **Formula for volume of a rectangular prism:** $$V = \text{length} \times \text{width} \times \text{height}$$ 4. **Calculate volumes of each part:** - Top left prism volume: $$V_1 = 5 \times 6 \times 7 = 210$$ - Middle step volume: $$V_2 = 8 \times 6 \times 6 = 288$$ - Lower right prism volume: $$V_3 = 13 \times 6 \times 3 = 234$$ 5. **Add volumes to get total volume:** $$V = V_1 + V_2 + V_3 = 210 + 288 + 234 = 732$$ 6. **Final answer:** The volume of the solid is **732 cm^3**.