We want to construct a rectangular box with a square base and a lid which volume is 25 m³. a) Sketch to indicate your variables and determine the dimensions of the box to minimize the use of materials...

Extracted text: We want to construct a rectangular box with a square base and a lid which volume is 25 m³. a) Sketch to indicate your variables and determine the dimensions of the box to minimize the use of materials b) Use Calculus to prove that the solution to part a) is the minimum solution