1. **State the problem:** We need to find the volume of a composite solid shaped like an L-shaped stepped rectangular prism by breaking it into rectangular prisms. 2. **Identify dimensions and break the shape:** The composite solid can be divided into two rectangular prisms: - Prism A (bottom larger block): length = 14 cm, width = 8 cm, height = 7 cm - Prism B (top smaller block): length = 7 cm, width = 8 cm, height = 7 cm 3. **Formula for volume of a rectangular prism:** $$\text{Volume} = \text{length} \times \text{width} \times \text{height}$$ 4. **Calculate volume of Prism A:** $$V_A = 14 \times 8 \times 7 = 784$$ 5. **Calculate volume of Prism B:** $$V_B = 7 \times 8 \times 7 = 392$$ 6. **Add volumes to get total volume:** $$V = V_A + V_B = 784 + 392 = 1176$$ 7. **Final answer:** The volume of the composite solid is **1176 cm^3**.