A glass box shaped like a rectangular prism has width 7 inches and height 12 inches it is being shipped in a larger box with width 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?

1 answer

The length of the glass box is not provided, so we cannot determine the exact volume of the space between the two boxes. However, we can find the maximum volume of the space by assuming that the glass box is a cube with side length 7 inches (since this gives the maximum amount of space for the peanuts).

The volume of the glass box is then 7 x 7 x 12 = 588 cubic inches.

The volume of the shipping box is 10 x 15 x L, where L is the length of the glass box (in inches).

The volume of the space between the two boxes is therefore:

10 x 15 x L - 588

Simplifying this expression, we get:

150L - 588

Since we do not know the exact length of the glass box, we cannot calculate the exact volume of the space. However, we do know that it will be less than or equal to 150L - 588 cubic inches.