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13. And God said to Noah, "The end of all flesh has come before Me, for the earth has become full of robbery because of them, and behold I am destroying them from the earth. 14. Make for yourself an ark of gopher wood; you shall make the ark with compartments, and you shall caulk it both inside and outside with pitch. 15. And this [is the size] you shall make it: three hundred cubits the length of the ark, fifty cubits its breadth, and thirty cubits its height. 16. You shall make a skylight for the ark, and to a cubit you shall finish it to the top, and the entrance of the ark you shall place in its side; you shall make it with bottom [compartments], second story [compartments], and third story [compartments]. 17. And I, behold I am bringing the flood, water upon the earth, to destroy all flesh in which there is the spirit of life, from beneath the heavens; all that is upon the earth will perish. 18. And I will set up My covenant with you, and you shall come into the ark, you and your sons, and your wife and your sons' wives with you. 19. And of all living things of all flesh, two of each you shall bring into the ark to preserve alive with you; they shall be male and female. 20. Of the fowl after its kind and of the animals after their kind, of every creeping thing upon the ground after its kind; two of each shall come to you to preserve alive. 21. And you, take for yourself of every food that is eaten and gather it in to you, and it shall be for you and for them to eat." 22. And Noah did; according to all that God had commanded him, so he did.

The typology is not in regard to Noah's Ark. (Noah's Ark is a type of Christ's Church). The typology regards the Ark of the Covenant.

Again, the Ark of the Covenant in the Old Testament held Aaron's staff (signifying the priesthood), the plates of the Ten Commandments (the Mosaic Law or God's ten "words") and the manna (the bread from Heaven).

Mary, considered as the Ark of the New Covenant, held in her womb Jesus, the High Priest, the New Law/God's Word made flesh and the new Bread from Heaven.*

Moreover, if the Ark of the (old) Covenant (reserved in the Holy of Holies) was so sacred a thing that someone who looked at or touched it without authorization should die (1 Samuel 6:19, 2 Samuel 2:6-7), then shouldn't the woman who bore our Savior be holier than "the Holy of Holies"? _______________________________________________________

John 6:48 "I am the bread of life. 49Your forefathers ate the manna in the desert, yet they died. 50But here is the bread that comes down from heaven, which a man may eat and not die. 51I am the living bread that came down from heaven. If anyone eats of this bread, he will live forever. This bread is my flesh, which I will give for the life of the world."