What is the context?
Paul appeals to believers on account of God’s mercy. The instruction to offer their bodies follows his account of God’s saving work; it describes a response to mercy, rather than a way to make God owe it to them.
The sacrifice is living: people place their embodied lives at God’s service. Verse 2 continues the thought with renewal of the mind, and the rest of the chapter makes the service concrete through humility, using gifts, sincere love and kindness even to enemies.
How is this passage commonly understood?
Christians commonly understand the living sacrifice as the dedication of the person’s life to God. The imagery brings worship and daily conduct together. It does not restrict service to a religious event or require bodily harm as a way of offering oneself.
Where does this fit in God's plan?
Hebrews 13:15–16 uses sacrifice language for praise, doing good and sharing with others. 1 Peter 2:5 describes God’s people offering spiritual sacrifices acceptable through Jesus Christ. Paul’s living sacrifice belongs within that wider picture of a people whose service grows from Christ’s work.
What is our position?
What Does Worship Actually Mean? reads the living sacrifice as a response to God’s mercy that reaches into daily life. Service, changed thinking, love, and care for others belong together in Romans 12; this does not add a payment to Christ’s sacrifice.