Screens only care about pixels. Obviously, they will show 58 inches, 5.7 inches, and 0.57 inches on paper. Obviously they will print at that size. I don't know how you might be able to print the 58x46 inch image, you might just examine its properties. And this is the point, it shows that video systems simply do not use image dpi.
Screens show pixels.
The difference in video screens and printers is that printers do use dpi, and these three will all print on paper at very different sizes. The truth is a real simple concept . Screens show pixels, not inches. In any existing RGB image file, such as these image files above, the data is huge strings of pixel data, RGB color values corresponding to every pixel. Each of these three images have 412x324 pixels, total of 133,488 pixels each.