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.

1 answer

The volume of the glass box is:

$7\times 9\times 12 = 756$ cubic inches.

The volume of the shipping box is:

$10\times 10\times 15 = 1500$ cubic inches.

So the difference in volume (which is the amount of space the Styrofoam peanuts will occupy) is:

$1500-756=744$ cubic inches.

Therefore, 744 cubic inches of space will contain Styrofoam peanuts.