Question

A box with an open top has vertical sides, a square bottom, and a volume of 4 cubic meters. If the box has the least possible surface area, find its dimensions.

Answer 1

lots of steps, it involves getting the equations of both volume and SA of the box. Then setting the volume equal to 4 to get the hight. then plug the height into the SA equation and take the derivative. set the derivative equal to zero to get the min. plug that into the volume equation to get both lengths.