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The supercarier appears to have roughly the same proportions as the assault carrier, so it should be ~5x bigger in every dimension, giving it ~125 times the volume.
Going further back, A covenant carrier is 3x the length of an AC. If we assume they are of the same general shape, then the AC would be 27x the volume. TheA carrier can hold 300 seraphs, 200 banshees, 34 dropships, and a crew of ~4,000 If we scale linearly, then the AC could have 8,100 seraphs, 5,400 banshees, 918 dropships, and a crew of ~108,000. Scaling again for the SC, we get ~1,000,000 seraphs, 675,000 banshees, 114,750 dropships, and a crew of 13.5 million.
Something that size would have no problem holding hundreds of thousands of vehicles. It easily hold a few thousand scarabs.
Alternatively, the 3d model of an AC I have shows a volume of 1,877,000,000 cubic meters. multiplying by 125 gives 234,625,000,000 m^3. Now, I don't have an exact number, but it looks like modern amphibious assault ship has a volume of less than ~250,000 m^3 and can carry up to 2,000 marines, ~1,000 crew, and 30-40 aircraft. A SC is close to 1 million times bigger.