Referring to Exercise 60, explain how to determine the maximum possible capacity for a storage bin constructed in this way. What is the maximum possible capacity (to three significant digits)?

Data from Exercises 60

A rectangular storage bin is to be made from a rectangular piece of sheet metal 12 in. by 10 in., by cutting out equal corners of side x and bending up the sides. See Fig. 3.39. Find x if the storage bin is to hold in 90 in.³.

2- L. 12.0 in. XI 1 Fig. 3.39 10.0 in.