The board of viewers of the county in which the petition was filed shall give notice by publication three times in some newspaper published in the county in which the project, or some part thereof, is situated, if there be any such newspaper, with the first publication appearing no more than 35 days before and the third publication appearing no less than seven days before the hearing, and also by posting a written or printed notice at the door of the courthouse and at five conspicuous places in the project, reciting that they propose to issue drainage bonds for the total cost of the improvement, giving the amount of the bonds to be issued, the rate of interest that they are to bear, and the time when payable.