Question

In: Advanced Math

We want to design a rectangular box without a lid with a volume of 64000 cm^3....

We want to design a rectangular box without a lid with a volume of 64000 cm^3. Find the dimensions that maximize the surface area. Using Lagrange Multipliers
Can you explain your reasoning pls

Expert Solution

ANSWER :

Find the dimension that maximize the surface area.

Let the length =x , width=y, height= z

Toget max surface area we will use

Lagranges multipliers and

so,

Puting this relation is

To get max surface area the direction is

Colby Messinger answered 2 years ago

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