Study of pressure distribution around buildings of different shapes based on the flow of air past various sharp-edged bluff bodies in a wind tunnel proves to be very important and useful in modern township planning, in the fields of Building Aerodynamics and other related areas. The buildings can easily be considered as sharp-edged bluff bodies of similar geometrical shapes and the pressure variation for flow past these objects can be determined experimentally in a low turbulence subsonic wind tunnel. This paper concentrates on the variation of pressure distributions past cubic and rectangular bluff bodies having various degrees of immersion within the boundary layer. A comparison between two-dimensional flow past rectangular body and three-dimensional flow past cubic body is included also. When an obstruction like a square cylinder is placed vertically in front of the cubic and rectangular bodies, a distinct change in pressure drop across them is observed as the obstruction is moved away from them. Experiments are carried out for a wide range of Reynolds numbers of wind flow within the test section of Jadavpur University subsonic low-turbulence closed circuit wind tunnel.