1. **State the problem:** Find the volume of the first triangular prism with base sides 12 ft and 10 ft, altitude 7.3 ft, and prism length 5 ft. 2. **Formula:** The volume $V$ of a prism is given by $$V = \text{Base Area} \times \text{Length}$$ 3. **Calculate the base area:** The base is a triangle with base $b = 12$ ft and height $h = 7.3$ ft. $$\text{Base Area} = \frac{1}{2} \times b \times h = \frac{1}{2} \times 12 \times 7.3 = 6 \times 7.3 = 43.8 \text{ ft}^2$$ 4. **Calculate the volume:** Multiply the base area by the prism length $L = 5$ ft. $$V = 43.8 \times 5 = 219 \text{ ft}^3$$ --- 5. **State the problem:** Find the volume of the second triangular prism with base side 11 mm, altitude 5.4 mm, and prism length 16 mm. 6. **Calculate the base area:** $$\text{Base Area} = \frac{1}{2} \times 11 \times 5.4 = \frac{1}{2} \times 59.4 = 29.7 \text{ mm}^2$$ 7. **Calculate the volume:** $$V = 29.7 \times 16 = 475.2 \text{ mm}^3$$ **Final answers:** - Volume of first prism: $219$ cubic feet - Volume of second prism: $475.2$ cubic millimeters