Subjects geometry

Square Pyramid Volume 4866C6

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1. **State the problem:** Find the volume $V$ of a square pyramid with base edges of length 4 ft and height 6 ft. 2. **Formula:** The volume of a pyramid is given by $$V = \frac{1}{3}Bh$$ where $B$ is the area of the base and $h$ is the height. 3. **Calculate the base area $B$:** Since the base is a square with side length 4 ft, $$B = 4 \times 4 = 16 \text{ ft}^2$$ 4. **Substitute values into the volume formula:** $$V = \frac{1}{3} \times 16 \times 6$$ 5. **Simplify the multiplication:** $$V = \frac{1}{3} \times 96$$ 6. **Simplify the fraction:** $$V = \cancel{\frac{1}{3}} \times \cancel{96} \Rightarrow V = 32 \text{ ft}^3$$ 7. **Final answer:** The volume of the square pyramid is $$\boxed{32 \text{ ft}^3}$$
6 ft 4 ft 4 ft