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In this study, conjugate laminar mixed convection heat transfer inside a vented prismatic shaped room has been investigated. According to the cooler’s position, three different types of configurations are considered. Cold air enters the room through the inlet and exits through a ventilator located at the roof. The bottom wall is considered adiabatic, and all the outer sidewalls are at a constant ambient temperature. The outer roof of the room is exposed to the sun, thus having a constant heat flux. The set of governing equations with boundary conditions have been solved via the finite element method. A parametric study is conducted for Richardson numbers ranging from 0.1 to 10. The average Nusselt number at the solid-fluid interfaces, the temperature distribution effectiveness, and the air domain’s average temperature are evaluated to make a quantitative comparison of different parameters and configurations. The room’s thermal and flow field distributions are presented through isotherm contour, heatline, and streamline plots. It is found that when the cooler is placed at the bottom position inside the room, the average fluid temperature of the room becomes lowest, and the temperature distribution effectiveness also becomes maximum for any Richardson number, thus indicates better thermal performance.