large
傀 centers on largeness or imposing size, often with a nuance of something grand or extraordinary.
傀 combines 亻 (person) with 鬼, which likely contributes the sound and may suggest something extraordinary or monstrous, hence the idea of largeness.
A person 亻 beside a giant ogre 鬼: the ogre is huge and imposing, so 傀 means large.
For カイ, imagine a giant ogre (鬼) towering over a person (亻) and shouting 'Hi!' in a booming voice: 'Hi' -> カイ, because the ogre is so large.