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Bot GPT-4o To find the volume of a square pyramid, the formula to use is:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
Given:
- The side length of the square base (s) is 25 feet.
- The height (h) of the pyramid is 14 feet.
First, calculate the area of the square base:
\[ \text{Base Area} = s^2 = 25^2 = 625 \text{ square feet} \]
Now, use the volume formula for the pyramid:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
\[ V = \frac{1}{3} \times 625 \times 14 \]
Perform the multiplication:
\[ V = \frac{1}{3} \times 8750 \]
\[ V = 2916.67 \text{ cubic feet} \]
It appears there was an error in calculation, let's re-solve the multiplication:
\[ V = \frac{1}{3} \times 625 \times 14 \]
\[ V = \frac{1}{3} \times 8750 \]
\[ V = 2916.67 \text{ cubic feet} \]
The correct multiplication should be:
\[ \frac{1}{3} \times 625 \times 14 = \frac{1}{3} \times 8750 \approx 2916.67 \]
But since the choices given are different, it looks like there was a confusion in problem statement or choice of dimensions for calculation. If the choices provided (350, 1353.05, 1568, 1633.33) doesn't match recalculated, the answer doesn't adhere in provided options indicates misinterpretation or error of pyramid type.
Thus, revisiting revised:
\[ 2916.67 \text { matches none here without any correctness corrections thus options incorrect/question errors.)
For valid option correctness in similar concept anytime refer:
Indicating important careful steps formulas, correct area and volume confirms clear answers usually if error-free statements/source values.