A packaging company is going to make open topped boxes ,with square bases that hold 108 cubic centimeters.What are the dimensions of the box that can be built with the least material?
A packaging company is going to make open topped boxes ,with square bases that hold 108 cubic centimeters.What are the dimensions of the box that can be built with the least material?
let $\displaystyle x$ = side of the square base
$\displaystyle h$ = box height
$\displaystyle S$ = surface area of the box
$\displaystyle x^2h=108$
$\displaystyle S=x^2+4xh$
get $\displaystyle S$ in terms of a single variable and minimize