Answer
$17.2m$
Work Step by Step
The length of each edge of the cube can be calculated as follows:
Let the length of each edge be $a$ then
$V=a^3$
$\implies a=V^{\frac{1}{3}}$
$\implies a=(\frac{mRT}{pM})^{\frac{1}{3}}$
We plug in the known values to obtain:
$a=(\frac{10000(8.31)(273)}{100000(0.044)})^{\frac{1}{3}}$
This simplifies to:
$a=17.2m$
