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## Homework Statement

Ok not really a school problem but i was just thinking of how to solve it.

How would i find the moment of inertia of a pyramid with base side length l and height h?

If the axis of rotation is along the z axis?

## Homework Equations

I = Summation of mrsquared

## The Attempt at a Solution

Ok so my approach is to find the geometrical center of the pyramid first.

I would know its easy to cut each of the diagonal lengths by 2 and drawing a straight perpendicular line down, but i wanted to try some integration because i just learned it a week ago.

I had problems setting up the integral, so could anyone give me a hint or 2?