Hydrostatic pressure (infinitesimally small column of water)

[Infinitybyzero]

This is a hypothetical question: since hydrostatic pressure is calculated as depth of water times its density, would a column of water less than a square foot in cross section still have a pressure at the bottom of depth*density of water?

For example, if I had a 1" thick by 1ft wide by 5' tall tank of water, would the horizontal pressure be 300 pounds per square foot? Or 1/12 of that?

 

[boneh3ad]

Pressure does not depend on the area upon which it applies. The force resulting from that pressure on said surface does. So, regardless of the size of your tank, the hydrostatic pressure is always going to be $p = \rho g h$, where $\rho$ is density, $g$ is gravity, and $h$ is the depth.