Get sum of values, which less date in dimension

[#1]

I have some dimensions and one of it is date. Also I have a few volumes for each date. I need to get sum of volumes, for which date less then in dimension.

For example

Dim 1, Dim 2, Date, volume, sum of volumes less date

A,         AA,.       6,.     15,.             0

A,.        AB,.       7,.       5,              30

B,.        BA,.       6,.       15,.            0

B,.         BB,.      8,.        10,.           35

I can't understand how to compare dates for each row with date in dimension and get sum.

[qliksus]

May be something like this

sum(aggr( rangesum(above(sum(volume),0,RowNo(TOTAL) )) - sum(volume) ,Date))

[vinieme12]

what is the expected output?