As an art project, Jesse is planning to make a set of nesting boxes (boxes that fit inside each other). Each box requires five squares that will fold into an open box with no lid. The largest box will measure 4 in. on each side. The side length of each successive box is 95% of the previous box. Jesse wants the smallest box to be no less than 0.5 in. on a side.
a. How many boxes can Jesse make in one set?
b. What is the total amount of paper needed for one set of open boxes?