To calculate the volume of a rectangular pyramid, we use the formula:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
First, we need to calculate the area of the base. The base is a rectangle with a length of 14 inches and a width of 6 inches.
\[ \text{Base Area} = \text{Length} \times \text{Width} = 14 , \text{inches} \times 6 , \text{inches} = 84 , \text{inches}^2 \]
Now, we can plug the values into the volume formula. The height of the pyramid is given as 12 inches.
\[ \text{Volume} = \frac{1}{3} \times 84 , \text{inches}^2 \times 12 , \text{inches} \]
Calculating this:
\[ \text{Volume} = \frac{1}{3} \times 84 \times 12 = \frac{1008}{3} = 336 , \text{inches}^3 \]
Thus, the volume of the rectangular pyramid is:
\[ \boxed{336 , \text{inches}^3} \]