Subjects geometry

Triangular Prism Volume A116Ed

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1. **State the problem:** Find the volume of a triangular prism with a triangular base of base length 12 cm and height 8 cm, and prism length 20 cm. 2. **Formula:** The volume $V$ of a triangular prism is given by: $$V = \text{Area of triangular base} \times \text{length}$$ 3. **Calculate the area of the triangular base:** The area $A$ of a triangle is: $$A = \frac{1}{2} \times \text{base} \times \text{height}$$ Substitute the values: $$A = \frac{1}{2} \times 12 \times 8 = \frac{1}{2} \times 96 = 48 \text{ cm}^2$$ 4. **Calculate the volume:** $$V = 48 \times 20 = 960 \text{ cm}^3$$ 5. **Answer:** The volume of the triangular prism is **960 cm³**.