There were areas of concern as well, mostly on defense.
Marshall allowed Rice to shoot 48.2 percent from the floor, nearly nine points better than the Owls' season average.
It was the sixth time in seven games an opponent has shot at least 46.8 percent from the floor against the Herd.
Junior forward Elijah Pittman said the team will need to draw energy from everywhere in the Henderson Center to fortify itself for its toughest visitor of the season.
"From the bench, from the fans, we'll need everything," Pittman said. "Just like (Memphis) needed everything there, we'll need everything here."
The Tigers watched Marshall absorb blows in Memphis that toppled it in other road games, then retaliate with shots of its own. The Herd trailed by as many as 10 at the FedEx Forum, but had four chances to tie or take the lead in the final 45 seconds.
Memphis has three players averaging double digits in scoring - junior guards Joe Jackson (13.9 points per game) and Geron Johnson (11.1 ppg) and sophomore swingman Adonis Thomas (10.9 ppg). Jackson also averages 4.8 assists per game, which ranks fifth in C-USA.
Spikes said the Herd will need to bring more energy itself as it moves from beating the worst team in C-USA to playing its best.
He said he and his teammates have to chase down every 50-50 ball and cut down on the mental errors that have hurt them, especially on the road.
"We can play with them," Spikes said. "They know that. We know that. We just have to do the little things to win games. That's what we're lacking. Hopefully we'll get it right."
Contact sportswriter Derek Redd at derek.r...@dailymail.com or 304-348-1712. His blog is at blogs.dailymail.com/marshall. Follow him on Twitter @derekredd.