Previous personalities to appear on the Phillip Schofield-hosted programme include Dame Kelly Holmes and Kelly Osbourne. Writing on Twitter, the singer refused to reveal if he had been successful in the various challenges.
"I've had a VERY tricky afternoon inside The Cube," he told fans. "Won't tell you how I did...you'll have to wait and watch!!! (sic)"
His bandmate Dougie Poynter added: "Just watched @tommcfly kick The Cube right in the shins and call its mum a fat square. Today he did something great!"
Describing the episode as "intense", Schofield also revealed that he has completed filming the third series.
"Our best yet without question," he wrote. "I'll let you know when it's on the telly but I'm guessing Spring."
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