Run Apple’s assetutil:
xcrun --sdk iphoneos assetutil --info Assets.car
you’ll get a JSON description of each item in the file. Something like this:
  {
    "Height" : 60,
    "Scale" : 1,
    "RenditionName" : "D3801CE9-19F1-4CE9-97C6-7E1EFFFCAE89",
    "AssetType" : "Vector",
    "SizeOnDisk" : 10822,
    "Name" : "mailbox",
    "Idiom" : "universal",
    "Width" : 99
  },
Note the line "SizeOnDisk" : 10822. 
This tool performs limited .car manipulation, run man assetutil for details.
The Assets.car seems to be a proprietary Apple’s archive that first appeared in iOS 7. A few utilities are able to extract its contents using the private class CUICatalog of the CoreUI framework:
There is also an app that reads .car files: crunch 9$, 15 day trial
Running strings Assets.car returned 
@(#)PROGRAM:CoreUI  PROJECT:CoreUI-475.1.1
IBCocoaTouchImageCatalogTool-9.0
Running find inside Xcode-beta returned /Applications/Xcode-beta.app/Contents/Developer/Platforms/iPhoneSimulator.platform/Developer/Library/Xcode/Overlays/IBCocoaTouchImageCatalogTool, which is a simulator executable (i386 + x86_64). Didn’t investigate any further but I bet that this tool could open .car archives if you run it inside the simulator.