- #1
Ghostscythe
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Homework Statement
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:
Homework Equations
Area = length*width.
Length of side S = ??
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.