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Lavid, OK this "might" work.
Weigh your empty case as UncleNick describes in his spreadsheet, then fill it with water. Set your scale to 90gr, and slowly begin pouring the water into the pan. When it gets to appx 90, stop and record an accurate measurement of the weight of the water. Dump and dry the pan, then pour again, stopping to record the weight. Repeat this until all the water is out of the case. Finally, reweigh the case so that you include any residual water remaining inside.
Although not as easy as a single weighing, and unfortunately allowing for potential errors, it should work.
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