Step-by-step explanation
The new cereal box has the form of a cube.
The volume of the cube is given by the expression a^3
Where a is the side of the cube. This is equal to the volume of the original box.

Isolating the value of a:
![a=\sqrt[3]{192}](https://img.qammunity.org/2023/formulas/mathematics/college/rrgw5kut863xjklv4y5vugcla4cshrfpcx.png)
Computing the cubic root:

Then, the surface area of the box is the following:

Plugging in the values:

This area is more than the surface of the original box.
In conclusion, the manufacturing cost of the new cereal box will be more.