OPTIMIZATION PROBLEM

[md_l_Lopez]

A piece of wire 100 cm long is to be cut into 12 pieces and welded together to construct the skeleton of a box with a square base.

A. What is the largest possible volume that such a box can have?

B. What is the largest possible surface area?

 

[Deleted member 4993]

A piece of wire 100 cm long is to be cut into 12 pieces and welded together to construct the skeleton of a box with a square base.

A. What is the largest possible volume that such a box can have?

B. What is the largest possible surface area?

Suppose the bottom of the box is b * b square.

Suppose the height of the box is h.

What will be the sizes of the rectangles that make the box?

What will be the perimeter of the box?