whilst that is scientifically correct, the heat transfer through an insulated cavity wall wont be that large even after 12 hours of sunshine..........it is not the mechanism through which UK houses get too hot
the more important factor is thermal mass:
a stone wall 600mm thick has a u value of around 1.2
a cavity wall to current building regs has a 0.18
the stone wall has a much lower u value but if you go into a building with thick stone walls, it will be cool inside -try going into a church or similar in the Med
modern houses have almost no thermal mass internally so it doesnt take much for houses to get warm quickly and once they are warm, theres no way to lower the temperature. How do they get warm: mostly from solar gain through windows and ventilation.