2025 AMC 8 Problem 8

Isaiah cuts open a cardboard cube along some of its edges to form the flat shape shown, which has an area of 18 square centimeters. What was the volume of the cube in cubic centimeters?

\textbf{(A)} 3\sqrt{3} \qquad \textbf{(B)} 6 \qquad \textbf{(C)} 9 \qquad \textbf{(D)} 6\sqrt{3} \qquad \textbf{(E)} 9\sqrt{3}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.