Plot subplot figures as slices through a 3D volume

I am trying to display some slices through a 3D volume using subplots. What a want to do is have a figure showing a 3D volume with slices through it where each slice shows 4 subplots on it as cross-sections.

I'm trying to display cross-sections in time-lapse data and I thought this would be a concise way of showing multiple data sets' cross-sections through time on one figure.

Any ideas?

Thanks.