Pyramid Problems

Surface area and volume of pyramid problems along with with detailed solutions are presented.

Volume of a Pyramid


We consider here a pyramid whose base is a rectangle.
Volume = (1 / 3) L W h
where L and W are the length and width of the base and h is the height of the pyramid.
pyramid

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.
pyramid for problem 2

Solution to Problem 2:

More References and Links to Geometry Problems

Geometry Tutorials, Problems and Interactive Applets.
Surface Area and Volume of Pyramid - Geometry Calculator. Online calculator to calculate the surface area, the volume and many other parameters of a pyramid given the dimensions of its rectangular base and its height.