1. **State the problem:** We need to find the volume of an L-shaped prism composed of two rectangular blocks. 2. **Identify dimensions:** The smaller block has dimensions 4 cm (width) × 5 cm (depth) × 8 cm (height). The larger block has dimensions 6 cm (width) × 5 cm (depth) × 15 cm (height). 3. **Volume formula:** The volume of a rectangular prism is given by $$\text{Volume} = \text{width} \times \text{depth} \times \text{height}$$. 4. **Calculate volume of smaller block:** $$V_1 = 4 \times 5 \times 8 = 160 \text{ cm}^3$$ 5. **Calculate volume of larger block:** $$V_2 = 6 \times 5 \times 15 = 450 \text{ cm}^3$$ 6. **Total volume:** Since the prism is formed by these two blocks combined without overlap, add the volumes: $$V = V_1 + V_2 = 160 + 450 = 610 \text{ cm}^3$$ 7. **Answer:** The volume of the prism is **610 cm³**.