I believe my old computer case was a full size tower but it didn't seem like it would fit into it. The old case was non-proprietary and seemed like the Asus wouldn't fit because of the size/shape of the area where the USB, color-coded mouse/keyboard, and audio input/outputs would go in the case. Is there a way to tell for sure? I haven't been able to locate the motherboard model number and called Asus support to ask if they knew which style the motherboard is but they told me they had no idea nor anyway to find out. Loads of helpful "support" from them! It amazes me to find that a company wouldn't have any information about their own products!!
The motherboard is usually mounted to the motherboard tray of the case. Since the motherboard isn't suppose to come into contact with the motherboard tray directly, or it'll cause a short circuit, metal standoff posts are used on which the motherboard is screwed onto. The standoff posts provides the separation of the motherboard from the motherboard tray.
Cheap cases will use stamped mounting points on the motherboard tray.
Cases purchased separately will include all of the necessary mounting hardware like the appropriate motherboard standoffs for that particular case.