Ran across this. Don't who this Schenk is, but this is his data.

All barges had to meet following naval requirements…
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However the barges exceeded these figures , here’s a quote from Schenk “Invasion of England 1940” Translated 1990, pp 70

Quote:
"For the first criteria it was calculated that the barges would need a freeboard of at least 2 m and would have to be in a good state of repair. ...."

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Schenk notes there were 1336 x type A1 "Péniche" barges @ 39 meters long 5 m ; wide & 2.3m high , with a capacity of 360 tonnes.

If you assume the barge is a rectangular solid and multiply 39x5x.3 ( to leave 2m freeboard) this is ~ 58 cubic meters. Which displased ~ 58 metric tons. what is the height mentioned?
Quote:

In addition there were 982 larger "Kampinen" type A2 barges @ 50 meters long 6.6m wide & 2.5m high and a capacity of 620 tonnes [able to carry 4 tanks]