We overfocus on brain volume, when we should be calculating the number of neurons and neuron size varies wildly.
I can't find the original video, but Suzana Herculano-Houzel developed a technique to measure total neuron counts by liquefying the brain and then counting the cell nucleus density / volume.
(nice short popsci intro) The woman who turns brains into soup: Suzana Herculano-Houzel
https://youtu.be/d2Uhv0_Ji1k?t=362 (talks about racoon and bird brains)