Why did Jesus Christ die on the cross?

For God So loved the world, that he gave his only son, that whoever believes in him should not perish but have eternal life [John 3:16]

Is there any hope in this world?

What happens after we die?

For The Wages Of Sin Is Death; But The Free Gift Of God Is Eternal Life in Christ Jesus Our LORD. [Romans 6:23]

For by grace you have been saved through faith. And this is not your own doing; it is the gift of God, not a result of works ,so that no one may boast. [Ephesians 2:8-9]