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The actual formula for density is mass/volume. Can someone explain how this $dm = p.dx$ came?

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    $\begingroup$ It's the linear mass density. It's more commonly denoted by $\lambda$. $\endgroup$
    – Cross
    May 30, 2022 at 18:31

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It just looks like $\rho$ is a linear density, not a volumetric density:

$$\text{mass}=\text{lineic density}\times\text{length}$$

I'm not a fan of formal calculations mixing up symbols and numerical values, it makes formulas difficult to parse...

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