I have measured a lot of pack volumes to the Standard some years ago:
https://backpackinglight.com/lw_internal_frame_packs_part_1a/
https://backpackinglight.com/lw_internal_frame_packs_part_1b/
https://backpackinglight.com/lw_internal_frame_packs_part_1c/
https://backpackinglight.com/lw_internal_frame_packs_part_2/
Some brands do measure their pack volumes properly.
Others measure each individual compartment and then add all those volumes up. As Brad mentions, sometimes you can NOT get anything into compartment B when compartment A is full. Basically, those claims are a fraud. What I wrote in my review in 2010 follows:
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Everyone wants to know what the pack volume is, and manufacturers all oblige by quoting figures. But exactly what value to place on the quoted figures is not that obvious. There are several reasons for this.
I do remember one manufacturer quietly explaining to me that he got his pack volumes by comparing his packs with the oppositions’ packs. He didn’t actually bother measuring his packs. We are not suggesting that this was done by any of the vendors in this survey, but it certainly does reflect the problems.
Trying to <i>calculate</i> the pack volume is hopeless: none of the shapes are either square or round. About the only reliable way to calculate the volume of the main bag is to fill it up with something like sawdust or foam ‘packing peanuts’, and then to measure the amount used in a nice rectangular box which can be measured. But even then there are questions: do you fill the main bag to the top of the main fabric body, or to the top of the throat? Do you insist on closing the throat right up, or just a little bit? There are no definitions in this game.
But it gets a lot worse once you have ‘measured’ the main bag. Many USA packs have mesh side pockets, and how you ‘measure’ their capacity defies imagination. The mesh may or may not expand, and may or may not be sewn up the side. But even more important is the shape of the main bag behind the side pocket. If the main bag is stuffed full you may find that the curve of the main bag almost fills the mesh side pocket right up. Alternately, if you insist on putting something into the side pocket you may find the object intrudes into the main bag volume.
Some packs have a fabric pocket on the back: exactly the same problems apply here. Sure, you can stuff your whole tent into this back pocket (why you would do this is open to question), but doing so takes a significant lump out of the main bag volume. Some packs have a large pocket on the lid, and the same problem arises here too. Some packs have bungee cord looped across the back or the top: should you count these in assessing the volume?
For this review we will quote the volume of the main bag with the top of the throat pulled shut. This figure we can measure. We will comment on the possible capacity of the side pockets and other pockets, but these compartments will not be given equal weight.
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Cheers