Pascal 2023 Part B - Question 11, CEMC UWaterloo

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This problem is tagged with pascal, pascal23, highschool.

(Pascal 2023, Part B, Question 11, CEMC - UWaterloo)

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
$(A)$ $24$ cm$^3$
$(B)$ $36$ cm$^3$
$(C)$ $72$ cm$^3$
$(D)$ $96$ cm$^3$
$(E)$ $144$ cm$^3$

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