Abox without a top is to be made from a rectangular piece of cardboard, with dimensions 8 in. by 10 in., by cutting out square corners with side length x and folding up the sides. (a) write an equation for the volume v of the box in terms of x. (b) use technology to estimate the value of x to the nearest value of x, to the nearest tenth, that gives the greatest volume. explain your process. show your work