We can't be sure the answer is accurate without knowing the following words. Consign is one possibility.
day
daydaylightdaybreakdaytime
out
day
The word is "land." I realize that's not three letters.
con + sign = consign
The three-letter word that can be placed in front of "ice," "beat," and "cut" is "nice." This forms the words "nice ice," "nice beat," and "nice cut."
con-sign
We can't answer that unless you tell us the following words.
pro, con
con consign, conduct, confound, contract ect.....
day