container
柈 centers on a container, likely a wooden bowl or tray. The single given meaning points to a vessel for holding things.
柈 combines 木 (tree/wood) with 半, which likely contributes the sound. The character probably originally referred to a wooden container or tray.
A wooden (木) half (半) of a split log hollowed out makes a simple container: 柈 is a wooden bowl or tray.
For ハン, imagine a hand (ハン sounds like 'hand') holding a wooden container: hand -> ハン, and the container is made of wood.