Find the dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm^2. (Let x,y, and z be the dimensions of the rectangular box.)

Answer 1

Just as max area of a rectangle occurs when it is a square, max volume occurs when the box is a cube.
So, what is the side length of a cube with area 4?

Answer 2

nope. There are six square faces.