Your company is introducing a fruit drink packaged in an aluminum box with a square
base. find the surface area of this box as a function of its dimension of its base, s, given
that volume of the box is 36 in. graph this function and determine the dimensions that
produce a minimum surface area for this aluminum box.

See explanation

Step-by-step explanation:

Let x in be the base side length and y in be the height of the box. Since the base is a square, we have

The volume of the box is

The surface area of the box is

The graph of the function SA(S) is shown in attached diagram.

Find the derivative of this function:

Equate this derivative to 0:

So, the dimensions that produce a minimum surface area for this aluminum box are:

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4

the correct answer is the second option