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A glass box shaped like a rectangular prism has a width of 7 inches, a length of 9 inches, and a height of 12 inches. It is being shipped in a larger box with a width of 10 inches, a length of 10 inches, and a height of 15 inches. The space between the glass box and the shipping box will be filled with Styrofoam peanuts. How many cubic inches of space will contain Styrofoam peanuts? Show all work.