Which one?
Statues were (most typically) either carved from blocks of stone or cast from precious metals. Sometimes combinations of the two.
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It depends upon which statue of Anubis to which the question refers, throughout the history of ancient Egypt many had been made.
Likely the ancient Egyptians made offerings of hymns, temples, festivals, as well as art associated with Anubis.
The consort of Anubis was Anput.
Anubis was important to the ancient Egyptians because they believed that Anubis provided them with the book of dead which told them how to have a good or bad afterlife
There are many statues of Anubis as Anubis was widely worshiped throughout Egypt and elsewhere.
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It is not certain how the ancient Egyptians made statues and depictions of Anubis as they did not leave detailed records of it. (Or if they have been found, it has not been published to the public yet.)
Ancient Egyptians.
The name Anubis is Greek (Aνουβις); the Egyptians called him Anpu.
Anubis or Osiris
Under the statue of Anubis