How is Noah’s Ark symbolic of Jesus?

Genesis

There was one door on the side of the ark through which Noah, his family, and all of the animals could enter to be saved from the Flood.  In John 10:9, Jesus tells us, “I am the door; if anyone enters through me, he will be saved.”  Just like Noah and the others who entered the door of the ark, those who enter the “door to salvation” through faith in Jesus and repentance of their sins will be saved.  There is another interesting symbolism regarding the pitch that was used to cover the ark.

People were saved from the flood by entering the door to the ark. We are saved from eternal suffering by entering through the “door” of Jesus. (Source: Answers in Genesis)