Hall scored 10 of his team's first 14 points in the first four minutes of the game. He scored 14 of his 16 points in the first half.
He also finished with eight rebounds and three blocks.
Hall was the only unhappy Wichita camper coming out of the Salt Lake City bracket, underwhelmed with his one-rebound performance in the upset win over No. 1 Gonzaga.
Marshall says Hall "marches to the beat of his own drum."
Hall is different, in an interesting way.
"You know what kind of day Carl is having by the amount of noise he is making," Marshall said.
When reporters asked Hall on Wednesday if he was concerned Marshall might leave the school for another coaching job, the senior said, "I'm not going to be here next year."
Before the NCAA tournament, Hall unexpectedly cut his long dreadlocks for no reason other than to "shock" his team.
"Sent it to his mom in a box," Marshall said.
Marshall has a rule against long hair unless you had it when he recruited you.
Wichita State blitzed La Salle from the outset, the Shockers using their size advantage to control the boards and the scoreboard.
It was 17-3 before Tyrone Garland made consecutive three-pointers to keep La Salle within contact.
La Salle cut the lead to eight on Galloway's three but Wichita State then went on a 13-5 run to end the half.
The last shot was freshman Baker's hanging runner from the right baseline.
With Hall in foul trouble, Armstead took over the second half.
He scored 12 of his game-high 18 points after intermission and put down every La Salle comeback attempt.
"Armstead was huge at that time," Giannini said. "He had three, four big buckets in a row. We were playing well enough at that time to have a chance. But Armstead wouldn't allow it."
Jerrell Wright and Garland had 16 points each for La Salle, while Galloway added 11.
Wichita State players were surprisingly subdued after their big win. The sense is they've come too far to go home now.
"It's a grind," Armstead said.
"We've got to stay focused. Forty minutes away. Just looking forward to a dream coming true."