Answer:
The dimensions of the box are 38.48 x 14.48 x 5.26 in.
Step-by-step explanation:
We will have a piece of cardboard with squares of side x cut from the corners to make a open box.
The volume of the box can be written as:
To calculate the maximum volume, we derive and equal to zero
We apply the quadratic equation to know the roots of the equation
The first solution is physically impossible, as the side that is cut would be bigger than 25.
So the real solution is for x=5.26 in.
Then, the dimensions of the box are:
