A pencil cup with a capacity of 40 in.3 is to be constructed

Last updated: 7/13/2022

A pencil cup with a capacity of 40 in.3 is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 12¢/in.² and the material for the base costs 49¢/in.2, what should the dimensions of the cup be to minimize the construction cost (in ¢)? Round your answer to two decimal places, if necessary.