If Christ died for all then how come some will end up in hell?

Isaiah 53:6
All we like sheep have gone astray; we have turned every one to his own way; and the LORD hath laid on Him [Christ] the iniquity of us all.

A common question raised by the Calvinist is: If Christ died for all men then how come some men will end up in hell? Shouldn’t the fact that Christ died for all men mean that all men are saved?

My response to the Calvinist is: No!
Ultimately, to be saved means to attain a righteousness that is acceptable to God. The book of Romans, in the 10th chapter outlines only two such modes of righteousness:

(1) righteousness that comes by the law
– Righteousness by the law is a dead end since no one has ever kept the law without error (Ezekiel 33:13).

(2) righteousness which is by faith.
– The only way anyone attains to righteousness which is by faith is through belief in Jesus Christ and His finished work on the cross; this is what is meant by obeying the gospel (Romans 10:8-9).