Adjusting the volume of a DIY encosure plan

If I have a "proven" back ported enclosure plan, and I want to modify it by adding a box inside that will contain an amplifyer, there will be a reduction in total volume.

Should I adjust the design, for example by increasing the depth of the enclosure, so that the volume remains equal to that of the original design ?

Also, if the original plan has crossovers, and the crossovers are replace by the DSPs in the amp (for ex. a hypex plate amp), given that the removal of the crossovers will recuperate part of the lost volume, should it be accounted in the volume compensation ?

in otherwords, should volume be adjusted with :

NEW_VOLUME = ORIGINAL_VOLUME + AMP_BOX_VOLUME - CROSSOVER_VOLUME

?
 
Thank you all for the great responses !

I will do my best to caclulate the volume so it remains constant, and I've decided to not account for the removal of crossover components.

In doing so, I will ensure to have an over estimation, and if I notice a problem, I can always add filler objects inside the box to reduce the volume. The inverse would be much more difficult (increase the volume in the case it is too small).

And if my understanding is good, any filler object would work, but damping material is the best fillerbecause it will also accomplish a nice side effect: to dampen higher frequencies.

Now the question is: how will I notice if there's a problem ?

I will be measuring SPL curve of the drivers (which I need to do anyways to configure the DSPs), and that should give me a hint.

But I read that an even better way would be to measure the impedance curve, two bumps will/should appear, and the placements of the bumps should be the same as the original design.

Apparently, it's possible to measure such a curve with a cheap sound card : Impedance Measurement

So I will try it, and the worst that can happen is that I will be busting the low quality mic input of my laptop ! ;-)