Pyramid problems related to surface area and volume with detailed solutions.

Volume of a Pyramid We consider here a pyramid whose base is a rectangle.

Problem 1: Find a formula for the total area of the surface of the pyramid shown above

Solution to Problem 1:

Problem 2:Below is shown a pyramid with square base, side x, and height h. Find the value of x so that the volume of the pyramid is 1000 cm^{ 3} the surface area is minimum.

Solution to Problem 2:

More references on geometry.