TRD PRO roof rack dimensions?

I've looked high and low and can't find this info so this is my last stop before going to the Toyota dealship with a tape measure....

Can someone tell me the measurement for this rack (see arrow)? From inside the top tube to the inside of the other? I use a cargo box that is 39" wide. I want to know if it can sit inside this thing. I really like the look of these racks and I'd like to put one on my Limited. But only if it fits my cargo box. Any help would be epic my dudes!

 

Did you figure this out? I am waiting for delivery of mine and I am curious if my cargo carrier will fit up there.

 

sure didnt. I ended up going with OEM rails and a 64" basket. Got the basket to accomodate a couple 10x10 pop-up tents for soccer. Then I can take it off and install the cargo box when needed.