After beginning his career at Memphis as a tight end, Smith was switched to right tackle after his sophomore year before moving to the left side as a senior.
"He was the most athletic tackle at the combine," said Coach Dave Wannstedt. "He has the chance to blossom into something special."
Smith is considered a bit raw and probably doesn't figure to challenge for a starting right away.
After arriving at Memphis weighing 240 pounds, Smith now hovers around the 300-pound mark and the Dolphins think he eventually could wind up around 310.
As for Whitley, he played with Seth McKinney, last year's top pick, in college and was thrilled to be reunited with his former teammate.
Whitley wasn't considered as good a prospect as McKinney was last year, but he's considered a high-character guy with a lot of toughness.
One draft publication said one of his positive attributes was that he had "a big bubble butt" and good hips.
When asked about that, Whitley quickly replied, "I don't know where they got that from, but my mom was offended."