Final answer:
To find the number of games that can be packed inside the box, calculate the volume of the box and the volume of one game cube. Then divide the volume of the box by the volume of one game cube to find the number of games.
Step-by-step explanation:
To find the number of games that can be packed inside the box, we need to calculate the volume of the box and the volume of one game cube. The dimensions of the box are 1 foot by 1 foot by 2 feet. Converting the dimensions to inches, we have 12 inches by 12 inches by 24 inches.
The volume of the box is calculated by multiplying the length, width, and height: 12 inches × 12 inches × 24 inches = 3,456 cubic inches.
The volume of one game cube is calculated by multiplying the side length three times: 2 inches × 2 inches × 2 inches = 8 cubic inches.
To find the number of game cubes that can be packed inside the box, we divide the volume of the box by the volume of one game cube: 3,456 cubic inches / 8 cubic inches = 432 games.