In total, to cover it all for a three year degree outside of London you’re looking at 3x £9250 (£27,750) for tuition but this may have increased by the time your child attends university.
Maintenance is harder to predict because it varies depending on whether the student is living at home or away, in or out of London and what their household income is. The max loan a student can get (living away from home in London from a low income family) is about £12,000 a year. This student would leave university with nearly £65,000 debt.
A student living outside of London with a high household income would be looking at a lower maintenance loan - maybe £5000 - but it is expected their parents contribute to make it up to £10,000/12,000. This student would have an overall debt of about £45,000 but their parents would have given them about £20,000 (or they would have got a job).
If you want the whole lot to be covered, they/you will need savings of around £60,000/£65,000 for a three year course.
Rough idea is about £10,000 a year tuition plus £10,000 a year living costs.