As you see, back edges option is disabled. Despite that - back edges are still visible. I tried all options in Window → Styles menu, and I have no idea, how to achieve view looking like the one visible there - Creating and Editing a Style | SketchUp Help. ( I mean the first one under “Good to know”)
You might have X-ray mode on in View->Face Styles->X-ray but it doesn’t really look like the style of X-ray mode. Are you sure there really are faces on the top of those cuboids?
Under the Face Style sub-menu, is X-Ray enabled? If not, then perhaps you could upload (using the 7th icon from the left, an up-pointing arrow) a sample model and other folks would be able to check it and identify what is causing all edges to be drawn in the viewport.
I’d say it’s a graphics card issue, then. Go to Window>Preferences>OpenGL and turn off Hardware Acceleration. See if that’s changes anything. When I open the file on my computer I see this: