20. Short Response A company is experimenting with two new boxes for packaging merchandise. Each box is a cube with the side lengths shown. What is the ratio of the surface area of the smaller box to the surface area of the larger box?

Large box = 18in

Small box=12in

We are tasked to solve for the ratio of the two boxes. Boxes are cubes. We can use the formula in solving the surface area of the box as shown below:

Surface Area of Cube = 6a² where "a" is the length of the side.

For smaller box:

Area = 6 (12) ²=864

Area = 864

For the larger box:

Area = 6 (18) ²

Area=1944

Then, the ratio is:

Area smaller box/Area larger box = 864/1944

Ratio=4:9