Question

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

Answer 1

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