To find out how many fish food boxes Eddie can fit into his aquarium, we first have to calculate the volume of a single fish food box. We can do this using the formula for the volume of a rectangular prism, which is the base area multiplied by the height. Given that the base area of the box is 6 square inches and the height is 4 inches, we multiply these together to get the volume of the box to be 24 cubic inches.
Now, to figure out how many of these boxes can fit into the aquarium, we divide the volume of the aquarium by the volume of a single box. So, 3456 cubic inches aquarium volume divided by 24 cubic inches box volume gives us 144.
Therefore, Eddie can fit 144 fish food boxes in his aquarium.