The answer is YES, read carefully, the volume of the ark would be 450 feet long by 75 feet wide by 45 feet high. This equals 1,518,750 cubic feet and is comparable to 569 modern railroad boxcars. Therefore each boxcar, by comparison, would be 1,518,750 divided by 569, or 2,669 cubic feet of space. The average size of an animal on the earth is smaller than a cat. But, just to keep it safe let's consider the average size of an animal to be a sheep. The average double deck stock car holds 240 sheep. The Ark capacity would be about 569 x 240 equaling 136,560 animals of that size. However, that still is not accurate for our needs. Since most birds, reptiles, and amphibians are much smaller, let's double the boxcar capacity for them. Therefore, the boxcars could each hold 480 different kinds of birds, reptiles, amphibians.
The total number of mammals would be 3,700 times two pair which equals 7,400 animals. 7,400 divided by 240 = 31 boxcars used.
Since Gen. 7:3 says to take seven pairs of every bird then the total for birds would be 8,600 times two pair times 7 or 120,400 animals. 120,400 x 480 = 250 boxcars. The reptiles and amphibians would be 6,300 plus 2,500 or 8,800. 8,800 times two pair equals 17,600 animals. 17,600 divided by 480 = 37 boxcars.
The total number of boxcars used would be 318 with a total number of animals at 145,400. There would be 251 boxcars left over. That means that only 56% of the ark would be used for storing the animals.
Checkmate.