Subjects geometry

Prism Volume 6Caf03

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1. **State the problem:** We need to find the volume of a prism with given dimensions. 2. **Formula for volume of a prism:** $$\text{Volume} = \text{Base Area} \times \text{Height}$$ 3. **Identify the base shape and dimensions:** The base is a triangle with base length 14 ft and height 12 ft (from the dashed vertical segment). 4. **Calculate the area of the triangular base:** $$\text{Base Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 14 \times 12 = 7 \times 12 = 84 \text{ ft}^2$$ 5. **Identify the prism length (height of the prism):** The prism extends 26 ft in length. 6. **Calculate the volume:** $$\text{Volume} = \text{Base Area} \times \text{Length} = 84 \times 26 = 2184 \text{ cubic feet}$$ 7. **Final answer:** The volume of the prism is **2184 cubic feet**.