Sounds like you need some idea of what "scale" is.
Simply put, "1/35" means an object is 35-times larger than the model of it. In a direct comparison (such as your "1-inch = 1-foot"), 1-inch = 35 inches in 1/35 scale.
Same for 1/32, and 1/48, etc.
A Hornet-class aircraft carrier, at 888 feet in reality, would be 1/35th that in a model of that scale, or a little more than 25 feet. A Sherman tank, at 19 feet in person, scales down to just over six inches long at 1/35 scale.
And to answer your other question, 1/35th is the dominant scale for armor, though 1/48 is rapidly gaining!