The resistance of a metal cube is measured by placing it between two parallel plates, as shown.
The cube has volume $V$ and is made of a material with resistivity $\rho $. The connections to the cube have negligible resistance.
Which expression gives the electrical resistance of the metal cube between $X$ and $Y$?
1 )
$\rho V^\frac{1}{3}$
2 )
$\rho V^\frac{2}{3}$
$\frac{\rho}{V^\frac{1}{3}}$
4 )
$\frac{\rho}{V^\frac{2}{3}}$
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