Convert linear density to area and volumetric density?

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SUMMARY

The discussion focuses on converting area density to linear and volumetric density, specifically for a flat square surface with an area density of 10^-4. The total mass (M) is calculated using the formula M = σA, where σ is the area density and A is the area. The volumetric density (ρ) is derived from the mass and volume, resulting in the formula ρ = σ/T, where T represents the thickness of the plate. Linear density is defined as constant in a direction parallel to one side of the plate.

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silverdiesel
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if I am given a area density of 10^-4, I can get linear and volumetric density from that right? I just can't seem to figure it out.
 
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silverdiesel said:
if I am given a area density of 10^-4, I can get linear and volumetric density from that right? I just can't seem to figure it out.
Only if you know the shape of an object you are working on.
 
It is a square (not a cube, a flat square surface)
 
silverdiesel said:
It is a square (not a cube, a flat square surface)
Then the total mass of the object is

M = σA

The volume density is

ρ = M/V = σA/V = σA/(AT) = σ/T

where T is the thickness of the plate.

If you want the linear density, it is only constant in a direction parallel to one side of the plate. See if you can do that one.
 

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