In the era of sail, no wooden ships were built that large. Large wooden vessels are subject to "hogging." The bows and the stern sit lower in the water than the midsection. This is due to wood's flexibility, combined with the lower buoyancy of the hulls tapered end sections. This is less of an issue on a steel ship. Steel is more rigid than wood, and can be made into longer structural sections.
Of course, you could say the Ark was square, so it did not have lower buoyancy at the tips. However, in reality, waves will make the hull flex, because those parts of the hull that encounter the wave first will tend to rise before the parts that are in the trough do. The hull will flex, and the seams in the hull will open, letting the water in. I doubt a family of 8 could man pumps and buckets well enough to keep such a vessel from sinking....let alone feeding so many animals at the same time.
You can't build a wooden ship that long.
BTS