A movie theater uses popcorn boxes in the shape of a right rectangular prism. Each box has a length of 9 inches and a width of 4 inches and a height of 12 inches. What is the volume of popcorn the box can hold?

The volume of a right rectangular prism can be found by multiplying its length, width, and height. Therefore, the volume of the popcorn box is $9 \times 4 \times 12 = \boxed{432}$ cubic inches.