Cuboid carton lid as one long, long box, square of the width and the box in this surface area equal to 192 square inches. This box will be how much it would have the most volume.
Rectangular box, cap box, one long side term is the square of the width. And the box has a surface area of 192 square inches, this box is the size it will have the most volume.
Paper box cuboid box lid. The long, as long as the square of the wide. And the box in this surface area of 192 square inch. This box is the size of the volume as much as possible.