To find the volume of a rectangular pyramid, you can use the following formula:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
For the given pyramid:
- The base is a rectangle with a width of \(12 , \text{m}\) and a length of \(12 , \text{m}\).
- The height of the pyramid is \(10 , \text{m}\).
First, we calculate the base area:
\[ \text{Base Area} = \text{Width} \times \text{Base Length} = 12 , \text{m} \times 12 , \text{m} = 144 , \text{m}^2 \]
Now we can substitute the base area and height into the volume formula:
\[ \text{Volume} = \frac{1}{3} \times 144 , \text{m}^2 \times 10 , \text{m} \]
Calculating this gives:
\[ \text{Volume} = \frac{1}{3} \times 1440 , \text{m}^3 = 480 , \text{m}^3 \]
Thus, the volume of the rectangular pyramid is
\(\boxed{480 , \text{m}^3}\).
The correct answer choice is A. 480 m³.