3d Fenwick tree

I have a three-dimensional fenwick tree data structure. I need to calculate sum on some segment from (x0, y0, z0) to (x, y, z)

What is the formula for inclusion-exclusion? For instance, for 2D variant it is

s = sum(x, y) - sum(x, y0 - 1) - sum(x0 - 1, y) + sum(x0 - 1, y0 - 1)

Thanks in advance

Here is 2D case: enter image description here