A rectangular prism has a volume of 12 \mathrm{~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
Answer Choices
A. 24 \mathrm{~cm}^{3}
B. 36 \mathrm{~cm}^{3}
C. 72 \mathrm{~cm}^{3}
D. 96 \mathrm{~cm}^{3}
E. 144 \mathrm{~cm}^{3}