Subjects geometry

Triangular Prism Volume

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Triangular Prism Volume


1. Let's state the problem: We want to find the volume of a triangular prism. 2. The volume $V$ of a prism is given by the formula: $$V = \text{Base Area} \times \text{Height}\quad\text{(height of the prism)}$$ 3. For a triangular prism, the base is a triangle, so its area $A$ is: $$A = \frac{1}{2} \times \text{base of triangle} \times \text{height of triangle}$$ 4. Therefore, the volume formula for a triangular prism becomes: $$V = \left( \frac{1}{2} \times b \times h \right) \times H$$ where $b$ is the base of the triangle, $h$ is the height of the triangle, and $H$ is the length/height of the prism. 5. In plain terms, multiply the area of the triangular base by the length of the prism to get its volume.