1. **State the problem:** We need to find the volume of a solid composed of two right rectangular prisms joined together in an L-shape. 2. **Identify dimensions:** The height of both prisms is 4 cm. - The larger prism has a base of 10 cm by 6 cm. - The smaller prism has a base of 4 cm by 4 cm. 3. **Formula for volume of a rectangular prism:** $$\text{Volume} = \text{length} \times \text{width} \times \text{height}$$ 4. **Calculate volume of the larger prism:** $$V_1 = 10 \times 6 \times 4 = 240$$ 5. **Calculate volume of the smaller prism:** $$V_2 = 4 \times 4 \times 4 = 64$$ 6. **Add volumes to get total volume:** $$V = V_1 + V_2 = 240 + 64 = 304$$ 7. **Final answer:** The volume of the solid is **304 cubic centimeters**.