Carve
A slice with a knife is called a carve.
You carve meat, you carve wood, all with a slicing motion with a knife.
こく
きざ
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You work up a sweat trying to carve meat and wood all day, so you grab yourself a nice Coke (こく). You like Coke, and it goes well with meat and sawdust.
Imagine washing down all your hard carving work with an ice cold Coke.