奥 and 底: deep inside and at the bottom of a container
Separate the back of a drawer from the bottom of a box, reading 奥 and 底 as different location references.
Farther in from an entrance or front
奥, read おく, names a part farther in from the entrance or front. 引き出しの奥に鍵がありました。 says that a key was deep inside the drawer.
店の奥から店員が出てきました。 says that an employee came out from the back of the shop. 奥 does not necessarily identify a lower floor.
The bottom part of a container
底, read そこ, names a container’s bottom. 箱の底に紙を敷きました。 says that paper was laid on the bottom of the box.
瓶の底に小さな傷があります。 says that the bottle has a small scratch on its bottom. It identifies a part of the bottle rather than a distant location.
Combining depth and bottom position
収納箱の奥の底に硬貨がありました。 says that there was a coin at the bottom toward the back of a storage box. 奥 and 底 contribute different directional information.
引き出しの奥まで手を入れました。 says that someone reached far into the drawer. It does not state contact with the bottom as 底に触れました would.
Does 引き出しの奥にあります。 establish that the item touches the drawer’s bottom?
Show the answer and why
No. 奥 gives a position farther in from the front or opening. Contact with the bottom needs separate information.