Volume of Pyramid with Calculus

The volume of a pyramid is found using integration. Two simple estimates are first found to set up the concept of finding an integral representing an infinite sum of infinitesimally thin block volumes. The volume is found for a generic height and base width.

[matthewjohnson]

I see your comment disappeared for some reason "The Engineer", but thank you, and that's correct, w^2 (sub b) is the area of the n'th square where n is the total number of square solids you are dividing the pyramid into.

[roberthouston]

Nice! That part about width changing with y was a little tricky, but it all makes sense!

[mehdikhfifi]

Hey Mr. Johnson

I wrote a paper about finding the volume of a square pyramid using 3D rieman sums, which is close to your derivation. If you want to read it sometime, please send me your email and I'll share it with you. BTW I'm a senior at the American International school of Lusaka