Your question about the rules I'm afraid I don't know. What I do know is that your codes are designated Part A-P (Part P being the real crowd pleaser) and one of them should specify minimum requirements for bathroom forced ventilation.7.5 cubes is about right, the ducting i was going to use was 100mm and flat chanel 110 x 54.
Your ducting sounds undersized, with the lengths you were talking about I would suggest at least a 150mm solid round duct and a flat channel with at least around double the crossectional area of the 110x54. All ducting bends and reducers as well as discharge grills and attenuators etc add significantly to the fan requirements
I would seek assistance with this project if I were you. You need someone to draw the system in a CAD or fan-select package and come up with a predicted system static pressure.