Use First Derivative to Minimize Area of Pyramid
Optimization Problem

The first derivative is used to minimize the surface area of a pyramid with a square base.


Below is shown a pyramid with square base, side length x, and height h. Find the value of x so that the volume of the pyramid is 1000 cm 3 and its surface area is minimum.
pyramid for problem 2

Solution to Problem 1:

More references on calculus problems