1. **State the problem:** We need to find the volume of an L-shaped prism composed of two rectangular prisms joined together. 2. **Identify dimensions:** - Front lower prism: width = 4 cm, depth = 5 cm, height = 8 cm - Taller prism behind: width = 6 cm, height = 15 cm, depth extends from 8 cm height to 15 cm height (so depth = 5 cm, same as front prism depth) 3. **Volume formula for a rectangular prism:** $$\text{Volume} = \text{width} \times \text{depth} \times \text{height}$$ 4. **Calculate volume of front lower prism:** $$V_1 = 4 \times 5 \times 8 = 160 \text{ cm}^3$$ 5. **Calculate volume of taller prism:** The taller prism extends above the front prism, so its height is the difference between 15 cm and 8 cm: $$15 - 8 = 7 \text{ cm}$$ Width = 6 cm, depth = 5 cm $$V_2 = 6 \times 5 \times 7 = 210 \text{ cm}^3$$ 6. **Total volume:** $$V = V_1 + V_2 = 160 + 210 = 370 \text{ cm}^3$$ **Final answer:** The volume of the L-shaped prism is **370 cm³**.