Convert Area Density to Volumetric Mass Density

Question

If the area density is 5.5kg/m², then what is its volumetric density in kg/m³?;)

The thickness is 1/8 inch.

I'm not getting the answer I'm being told is the correct answer and going nuts here;)

What is the formula here?

Thank you.

Answer 1

A first step is converting the ${1\over8}$ inch to a metric quantity. You have obtained $0.0031$ m. It follows that your one square meter sheet is in reality a box of volume

$V=1$ m${}^2 \times0.0031$ m = $0.0031$ m${}^3\ $.

Since this "box" weighs $5.5$ kg the volumetric density $\rho$ of the material is given by

$\rho={\displaystyle{5.5 \>{\rm kg}\over0.031\>{\rm m}^3}}=1774.2\>$ kg/m${}^3$.

That's my last word on this matter.