1. **State the problem:** We need to find the volume of a prism whose cross-section consists of two rectangles joined in an L-shape. 2. **Identify dimensions:** - First rectangle: Width = 6 cm, Height = 8 cm - Second rectangle: Width = 4 cm, Height = 15 cm - 8 cm = 7 cm (since the total height is 15 cm and the first rectangle is 8 cm tall) - Depth of the prism (length of the prism): 5 cm 3. **Calculate areas of each rectangle:** - Area of first rectangle: $6 \times 8 = 48$ cm² - Area of second rectangle: $4 \times 7 = 28$ cm² 4. **Calculate total cross-sectional area:** $$48 + 28 = 76 \text{ cm}^2$$ 5. **Calculate volume:** Volume = Cross-sectional area $\times$ Depth $$76 \times 5 = 380 \text{ cm}^3$$ **Final answer:** The volume of the prism is $380$ cubic centimeters.