1. A box without a top is to be made from a rectangular piece of cardboard, with the dimensions shown below, by cutting out square corners with side length \( x \) and folding up the sides. (a) Write an equation for the volume of the box in terms of \( x \).(b) Use technology (such as Desmos) to estimate the value of \( x \), to the nearest tenth, that gives the greatest volume. Explain your process.