1. **Problem Statement:** Find the volume of the triangular prism with a triangular base area of 15 cm² and a prism length of 5 cm. 2. **Formula for Volume of a Triangular Prism:** The volume $V$ of a triangular prism is given by the formula: $$V = \text{Area of triangular base} \times \text{length of the prism}$$ 3. **Given Data:** - Area of triangular base $A = 15$ cm² - Length of prism $L = 5$ cm 4. **Calculate the Volume:** $$V = 15 \times 5$$ $$V = 75$$ 5. **Explanation:** The volume is found by multiplying the area of the triangular base by the length (or depth) of the prism. This gives the total space inside the prism. **Final Answer:** $$\boxed{75 \text{ cm}^3}$$