Convert linear density to area and volumetric density?

[silverdiesel]

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.

 

[OlderDan]

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.

 

[silverdiesel]

It is a square (not a cube, a flat square surface)

 

[OlderDan]

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.