I need to find the volume of the empty space in the container. To do that, I need to subtract the volume of the water and the ice from the volume of the container. The volume of the container is the cube of its side length, which is $10^3 = 1000$ cubic inches. The volume of the water is half of that, since it fills half the container. So the volume of the water is $1000 \div 2 = 500$ cubic inches. The volume of each ice cube is also the cube of its side length, which is $2^3 = 8$ cubic inches. There are ten ice cubes, so their total volume is $8 \times 10 = 80$ cubic inches. The volume of the empty space is $1000 - (500 + 80) = 420$ cubic inches. 
Jimmy owns a cube-shaped container that measures $10$ inches on each side. He fills this container with water until it is half full. Then he throws ten giant ice cubes that measure $2$ inches on each side into the container. In inches cubed, how much of the container is unoccupied by ice or water?