Subjects geometry

Square Pyramid Volume 3C2Dc6

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1. **Problem:** Find the volume of a square pyramid with base edge 6 inches and height 5 inches. 2. **Formula:** The volume $V$ of a square pyramid is given by $$V = \frac{1}{3} \times \text{(area of base)} \times \text{height}$$ Since the base is a square with edge length $b$, its area is $b^2$. 3. **Calculation:** - Base edge $b = 6$ inches - Height $h = 5$ inches Calculate the base area: $$b^2 = 6^2 = 36$$ Calculate the volume: $$V = \frac{1}{3} \times 36 \times 5 = \frac{1}{3} \times 180 = 60$$ 4. **Answer:** The volume of the pyramid is $60$ cubic inches. This completes the solution for the first problem.