Travis Binnion's U18s secured a top two finish and subsequent play-off berth following a resounding victory at the SteelPhalt Academy on Saturday.
Needing to match Huddersfield's result, to finish second in the table, the Blades hit seven goals past Hull at Shirecliffe, much to the delight of everyone connected with the club, whilst the Terriers drew 3-3 with Coventry.
Connor Hall, Kimarni Smith, Callum Semple and Alex Brown all got on the scoresheet in the first-half, before a brace from leading scorer Jordan Hallam and a strike from defender Joseph Cummings rounded off proceedings in the Blades favour.
Within the first five minutes, Hallam fired wide and Gordon hit the post as the hosts looked for an early breakthrough.
At the other end, against the run of play, City had their best chance of the first-half, but found Ramsdale at his best as he tipped a goal bound effort onto the crossbar.
Midway through the opening 45, the game burst into life, firstly Hallam was denied from the penalty spot before hitting the woodwork with the rebound, but the Blades then blew away the Tigers in the final 15 minutes of the first period.
HALL broke the deadlock reacting quickest to fire home after Smith's long-range shot was only parried by the visiting goalkeeper. The provider became scorer ten minutes later, as K. SMITH drilled home with his weaker right foot.
The third goal came moments later, this time SEMPLE the scorer, who met Hallam's pinpoint free-kick on the full, sending the ball into the top corner. And the game was as good as over as a contest before the interval as BROWN scored at the second attempt at the back post.
On the hour United added a fifth, as HALLAM whipped home a free-kick and he then got his second and the Blades sixth to make it 25 for the season with 15 minutes remaining.
Hull got a consolation in the 81st minute, only for CUMMINGS to send the Blades into seventh heaven with a header from another Hallam set-play from the restart.
The comprehensive victory means United will face Watford in a one-legged play-off on Saturday. Full details will be announced in due course.
Blades: Ramsdale, Charlesworth, Brown, Slater, Cummings, Semple (Adebowale 46), T. Smith (Crofts 80), Gordon, Hall, Hallam, K. Smith (Mallon 62).
Unused: Perryman, Gilmour.