To find the volume of the right rectangular prism that is packed with 12 cubes, we first need to calculate the volume of one cube.
The volume \( V \) of a cube is given by the formula: \[ V = s^3 \] where \( s \) is the length of the edge of the cube.
For one cube with an edge length of 12 inches: \[ V = 12^3 = 12 \times 12 \times 12 = 1728 \text{ cubic inches} \]
Since there are 12 cubes packed into the prism, we multiply the volume of one cube by the number of cubes: \[ \text{Total Volume} = 12 \times 1728 = 20736 \text{ cubic inches} \]
Therefore, the volume of the right rectangular prism is \( 20736 \) cubic inches.
Considering the given responses, none match this value. It appears that there may have been a misunderstanding regarding the numerical values of the answers provided, as none are correct based on the calculations for the volume of the cubes packed in the prism.