please help me on this

Question

A closed box has a square base with side length l feet and height h feet. Given that the volume of the box is 17 cubic feet, express the surface area of the box in terms of l only.

Answer 1

l=length of a side of a square base.

 

Area of the base is then l² 

 

Volume=area of base x height = l²h=17

 

So h=17/l² 

 

surface area of box, A = 2 x area of base + 4 x area of each side piece

 

A=2l² + 4lh

 

A=2l² +4l(17)/l² 

 

A=2l² +68/l