A glass box shaped like a rectangular prism has width 7 inches, length 9 inches, and height 12 inches. It is being shipped in a larger box with width 10 inches, length 10 inches, and height 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.
Answer:
Volume of glass box = 7 in. x 9 in. x 12 in. = 756 in.^3
Volume of shipping box = 10 in. x 10 in. x 15 in. = 1500 in.^3
Volume of space between glass box and shipping box = 1500 in.^3 - 756 in.^3 = 744 in.^3
Therefore, 744 cubic inches of space will contain Styrofoam peanuts.