1. **State the problem:** Calculate the volume of a triangular prism with a triangular base having sides 5 cm and 9 cm, height 6 cm, and prism length 11 cm. 2. **Formula for volume of a triangular prism:** $$\text{Volume} = \text{Area of triangular base} \times \text{Length of prism}$$ 3. **Calculate the area of the triangular base:** The area of a triangle is given by: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ Here, base = 9 cm and height = 6 cm. 4. **Calculate the area:** $$\text{Area} = \frac{1}{2} \times 9 \times 6 = \frac{1}{2} \times 54 = 27 \text{ cm}^2$$ 5. **Calculate the volume:** Length of prism = 11 cm $$\text{Volume} = 27 \times 11 = 297 \text{ cm}^3$$ 6. **Final answer:** The volume of the triangular prism is **297 cubic centimeters**.