1. **State the problem:** Find the volume of the right pentagonal prism with base height 11 mm, base width 8 mm, and prism length 15 mm. 2. **Formula:** The volume $V$ of a prism is given by $$V = B \times h$$ where $B$ is the area of the base and $h$ is the length (height) of the prism. 3. **Calculate the base area:** The base is a pentagon, but since only height and width are given, we assume the base is a rectangle for simplicity (or the pentagon can be decomposed into rectangles/triangles). Here, we treat the base area as $$B = \text{base height} \times \text{base width} = 11 \text{ mm} \times 8 \text{ mm} = 88 \text{ mm}^2$$ 4. **Calculate the volume:** Multiply the base area by the prism length $$V = 88 \text{ mm}^2 \times 15 \text{ mm} = 1320 \text{ mm}^3$$ 5. **Final answer:** $$\boxed{1320 \text{ mm}^3}$$ This is the volume of the prism assuming the base area is rectangular based on given dimensions.