Weird, I just had the source article out again.
Pondering the volume displacements for each of the size categories listed in the article, mostly in ship squares. Thus a light vehicle would fit in a 2 by 4 space, medium in a 3 by 6 space, and a Heavy in a 4 by 8 space, with all the smaller measurements being a square in terms of height.
I would not get too hung up on figuring vehicle dimensions based on weight.
The U.S. M-3 Stuart light tank of World War 2 weighed in at 12.7 metric tons, and was 178 inches long, 88 inches wide, and 99 inches high. Converting to metric, that would be 4.5 meters long, 2.2 meters wide, and 2.5 meters high, all dimensions approximate to tenths of a meter. This would be a Light Tank per the article. That would equate to a floor space of 2 by 3 ship squares.
The U.S. M-4 Sherman, with 75mm gun, weighed in at 30.5 metric tons, or a Light Medium based on the article. Its dimensions were 232 inches long, 103 inches wide, and 116 inches high. That gives approximately 5.9 meters long, 2.6 meters wide, and just under 3 meters high. That would equate to a floor space of 2 by 4 ship squares.
The U.S. M-47 Medium, with a 90mm gun, weighed in at 44 metric tons, so a Heavy Medium per the Space Gamer article. The dimensions were 278 inches long, not counting gun, 138 inches wide, and 111 inches high. That equates to 7 meters long, 3.5 meters wide, and 2.8 meters high. That would equal for floor space 3 ship squares wide by 5 ship squares long.
The World War 2 German Tiger 2, or King Tiger, weighed in at 75 tons, so a Heavy by the article. Its dimensions were 286 inches long, not counting the gun, 151 inches wide, and 122 inches high. That equals, in metric, 7.3 meters long, 3.8 meters wide, and 3.1 meters in height. In ship squares that would be 3 by 5 in floor space. That is the same as the U.S. M-47, about 31 tons lighter, and considerably less than the 4 by 8 that you give for a Heavy based on the article.
You need to think of an AFV as having a specific volume for the task that it is to do, and added armor, which quickly increases mass, does not increase that volume all that much.
A World War 2 M-5 Half-Track weighed in at just under 9 tons, so a Light vehicle by the article. Its dimensions were 249 inches long, 88 inches wide, and 91 inches high. In metric, that equals 6.3 meters long, 2.2 meters wide, and 2.3 meters in height. That would be 2 ship squares wide and 5 ship square long, or a larger floor space that the much heavier Sherman. That is because it was designed to carry a crew of 13 men, basically a 2 man crew and an 11 man infantry squad.
The M-3 Grant carried a crew of 7 men, along with a 75mm gun in a hull sponson, a 37mm gun in the turret, along with three .30 caliber machine guns, was a bit lighter than the Sherman, but had roughly the same dimensions as the Sherman. It does have a bit less armor for its greater internal volume.