Exodus 20:24 An altar of earth you shall make for me and sacrifice on it your burnt offerings and your peace offerings, your sheep and your oxen. In every place where I cause my name to be remembered I will come to you and bless you. If you make me an altar of stone, you shall not build it of hewn stones, for if you wield your tool on it you profane it. And you shall not go up by steps to my altar, that your nakedness be not exposed on it.’
Deuteronomy 27:5-6 And there you shall build an altar to the LORD your God, an altar of stones. You shall wield no iron tool on them; you shall build an altar to the LORD your God of uncut stones. And you shall offer burnt offerings on it to the LORD your God,
Joshua 8:31 just as Moses the servant of the LORD had commanded the people of Israel, as it is written in the Book of the Law of Moses, “an altar of uncut stones, upon which no man has wielded an iron tool.” And they offered on it burnt offerings to the LORD and sacrificed peace offerings.
Hebrews 12:28-29 Therefore let us be grateful for receiving a kingdom that cannot be shaken, and thus let us offer to God acceptable worship, with reverence and awe, for our God is a consuming fire
The distinction between burnt offerings and peace offerings was given later in greater detail. Yet the mere mention of them at the outset of the giving of the law indicates that man cannot keep the law and must have sacrifice to deal with this inability. This was in expectation that Israel would break the laws God gave them, and need to atone for their sin by sacrifice, all with a view to the ultimate sacrifice God would ultimately provide. This wonderful promise was made in the context of sacrifice and atonement. Even in the Law of Moses, God often made the connection between trust in atoning sacrifice and the presence and blessing of God. Though there was blessing in keeping the law, we ultimately are only blessed by the law if we keep the entire law – therefore we seek and find blessing from God on the basis of His atoning sacrifice.
If an altar were made of stone, it was possible or even likely that attention would be drawn, and glory would be given to the stone carver. God, at His altar, wanted to share glory with no man – the beauty and attractiveness would be found only in the provision of God, not in any fleshly display. (Guzik)
An altar thou shalt make for thy present use, or whilst thou art in the wilderness: this he commanded, partly, that they might easily and readily erect an altar upon all occasions, which it might be hard for them to do there of better materials; partly, to mind them how much more God regarded the inward holiness than the outward pomp of their devotions; partly, because God would make a conspicuous difference between them and idolaters, who used much cost and curiosity about their altars; partly, that the altars might, after they left them, fall down and moulder away, and not remain as lasting monuments, which might be afterward abused to idolatry by any persons that came thither; partly, because they were uncertain of their stay any where, except at Sinai, and therefore must raise such altars as they could suddenly do. But this command only concerned their wilderness state; for there were better and more durable altars in the tabernacle and temple. (Poole)
The alter, sacrifice/offering, and blessing – The cross, Jesus Christ, eternal life