Final answer:
The volume of the box is 108 cubic inches.
Step-by-step explanation:
To find the volume of the box, we need to calculate the dimensions of the box and then multiply the length, width, and height.
The original square piece of cardboard is 12 inches on each side.
When a 3-inch square is cut out from each corner, the dimensions of the resulting box will be 6 inches by 6 inches by 3 inches.
Multiplying these dimensions, we get the volume of the box as 108 cubic inches.