1. **State the problem:** Calculate the volume $V$ of a rectangular prism with length $L=7.5$, width $W=2$, and height $H=15$. 2. **Formula:** The volume of a rectangular prism is given by the formula: $$V = L \times W \times H$$ 3. **Substitute the values:** $$V = 7.5 \times 2 \times 15$$ 4. **Calculate step-by-step:** First multiply length and width: $$7.5 \times 2 = 15$$ Then multiply the result by height: $$15 \times 15 = 225$$ 5. **Final answer:** The volume of the rectangular prism is $$V = 225$$ cubic units.