Pseudo-hard body fluids resulting from extended primitive models of wa
ter, methanol, and ammonia have been investigated both by computer sim
ulations and theory for a number of geometrical parameters. It is show
n that none of the existing equations of state and integral equations
for the site-site correlation functions is able to describe the proper
ties of the pseudo-hard body fluids reasonably accurately. For the equ
ation of state an accurate semi-empirical method is proposed and for t
he site-site correlation functions the reference average Mayer functio
n perturbation theory has been found to perform at least qualitatively
correctly, which is not the case with Ornstein-Zernike equation based
theories.