9 And he shall offer of the sacrifice of peace-offerings an offering made by fire unto Jehovah; the fat thereof, the fat tail entire, he shall take away hard by the backbone; and the fat that covereth the inwards, and all the fat that is upon the inwards, 10 and the two kidneys, and the fat that is upon them, which is by the loins, and the caul upon the liver, with the kidneys, shall he take away. 11 And the priest shall burn it upon the altar: it is the food of the offering made by fire unto Jehovah.
Matthew Henry's Commentary on Leviticus 3:9-11
Commentary on Leviticus 3:6-17
(Read Leviticus 3:6-17)
Here is a law that they should eat neither fat nor blood. As for the fat, it means the fat of the inwards, the suet. The blood was forbidden for the same reason; because it was God's part of every sacrifice. God would not permit the blood that made atonement to be used as a common thing, Hebrews 10:29; nor will he allow us, though we have the comfort of the atonement made, to claim for ourselves any share in the honour of making it. This taught the Jews to observe distinction between common and sacred things; it kept them separate from idolaters. It would impress them more deeply with the belief of some important mystery in the shedding of the blood and the burning the fat of their solemn sacrifices. Christ, as the Prince of peace, "made peace with the blood of his cross." Through him the believer is reconciled to God; and having the peace of God in his heart, he is disposed to follow peace with all men. May the Lord multiply grace, mercy, and peace, to all who desire to bear the Christian character.