# Measuring the Thickness of a Paper

I'm supposed to come up with a way to measure the thickness of paper. I've come up with the following approach.

Let us suppose we have a paper of thickness $$?$$, length $$a$$, breadth $$b$$, density $$\rho$$. Let us say I use an Analytical Balance to measure the mass of the paper and it comes out to be $$m$$. Then I can use the formula for density and volume to come up with the thickness of that paper: $$\rho=\dfrac{m}{V}=\dfrac{m}{?ab}\implies ?=\dfrac{m}{\rho ab}$$

Now this looks valid because if I shorten the paper's dimensions, that does not change it's thickness but indeed changes it's mass such that the thickness remains constant. Is this a good approach? Any suggestions are appreciated. Thanks

• How accurately do you know $\rho$? – The Photon Apr 28 at 14:42
• This is a fine approach assuming the paper is fairly even in thickness. And of course assuming that you know the density. – Steeven Apr 28 at 14:52