2023 Pascal Problem 11

A rectangular prism has a volume of 12 cm^3. A new prism is formed by doubling the length, doubling the width, and tripling the height of the original prism. The volume of this new prism is

\textbf{(A)}\ 24 \text{ cm}^3\quad \textbf{(B)}\ 36 \text{ cm}^3\quad \textbf{(C)}\ 72 \text{ cm}^3\quad \textbf{(D)}\ 96 \text{ cm}^3\quad \textbf{(E)}\ 144 \text{ cm}^3

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.