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

Find the volume, using only the variables a, b, and h in your answer.

A frustum of a pyramid with square base of side b, square top of side a, and height h:

2. Relevant equations

Area = length*width.

Length of side S = ??

3. The attempt at a solution

I know that generally when finding volume, it's going to be the integral from a[bottom] to b[top] of a cross-section's area. usually that'd just be integral[pi*r^2] a..b for a cylinder.

For this, obviously, I need to find an equation for the length side S that is a function of h, so S(h) = SL.

My first thought was (b-a)h, but that wouldn't change as the integral changes, so it's out. I can't think of a dynamic equation to suit the problem, and would appreciate help pushing me in that direction.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Volume of a Frustrum of a Pyramid

**Physics Forums | Science Articles, Homework Help, Discussion**