Question
find 3 positive real numbers whose sum is 500 and whose product is as large as possible.
Answers
Steve
this is the same as finding the volume of the largest brick with given sum of edges or given surface area.
As with the area of a rectangle, max is achieved for a square.
Max volume is achieved with a cube of side 500/3.
As with the area of a rectangle, max is achieved for a square.
Max volume is achieved with a cube of side 500/3.