The ancient romans were mostly influenced by the art of which ancient society?

Etruscans

Explanation:

Although the practical uses of art were distinctly Roman, the art forms themselves were influenced by the ancient Greeks and Etruscans. In the late 600's B.C., the most powerful people in Italy were the Etruscans, who had come from Asia Minor and settled in Tuscany, an area north of Rome.

i think these large heads represent their gods and i do think they were worshiped by the people. if there was only one head and no heads around it i think it would be monotheistic but if there are several heads close to each other it could be polytheistic.