To find the volume of a square pyramid, we use the formula:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
In this case, the base is a square with a side length of 12 meters, so the base area is:
\[ \text{Base Area} = \text{side length}^2 = 12^2 = 144 , \text{m}^2 \]
The height of the pyramid is given as 10 meters. Plugging the values into the volume formula:
\[ \text{Volume} = \frac{1}{3} \times 144 , \text{m}^2 \times 10 , \text{m} = \frac{1}{3} \times 1440 , \text{m}^3 \]
Calculating this gives:
\[ \text{Volume} = 480 , \text{m}^3 \]
Thus, the volume of the rectangular pyramid is:
\[ \boxed{480 , \text{m}^3} \]