(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the volume of the frustum of a pyramid with square base of side b,

square top of side a, and height h. What happens if a = b ? If a = 0 ?

2. Relevant equations

None

3. The attempt at a solution

I know that i have to integrate from 0 to H. I make a generic square with sides X. The area of the square would be x*x or X^2 and the height would be dx. I have to integrate that, but how can i find what exactly X is? Since the base is a larger square, i know the x should be decreasing as it moves from base b towards base a. My problem is that i cannot figure out how to get the value of x since there are no numbers given for the problem.

Also, can someone confirm this if its right or not?

if a=b then the bottom square and the top square become the same length so the shape would become a rectangular box right?

If a = 0 then the shape would just become a regular pyramid rather than a frustum of a pyramid?

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# Homework Help: Volume of the frustum of a pyramid

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