[b][i]Cut out four congruent squares from a cardboard sheet, so that the remaining part can be folded to create the box (with no top) having max volume.[/i][br][/b][br]Use the sliders in the construction to set the lengths of [color=#ff7700][i]base [/i][/color]and[i] [color=#0000ff]height[/color][/i] of the sheet.[br]Move the [color=#38761D][i]green point[/i][/color] on the sheet base to modify the cutout area.[br][br]If [color=#ff0000][i]x[/i][/color] is the length of the [i]side [/i]of the cutout [i]square[/i], what's the length of[color=#ff0000] [i]x[/i][/color] that will create a box with maximum volume?[br]