1. The problem asks to find the volume of a pyramid with height $h=14$ and base edges $6$ (square base). 2. The formula for the volume $V$ of a pyramid with a square base is $$V = \frac{1}{3} \times \text{base area} \times \text{height}$$ 3. Since the base is square with edge $6$, the base area is $$6 \times 6 = 36$$ 4. Substitute $V$, base area, and height into the formula: $$V = \frac{1}{3} \times 36 \times 14$$ 5. Calculate the volume: $$V = \frac{1}{3} \times 504 = 168$$ 6. Therefore, the volume of the pyramid is $168$ cubic units.