CIMC 2022 Part A - Question 1, CEMC UWaterloo

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This problem is tagged with cimc, cimc22, highschool.

(Canadian Intermediate Mathematics Contest 2022, Part A, Question 1, CEMC - UWaterloo)

The area of one face of a cube is $16 \text{cm}^2$. The volume of the same cube is $V \text{cm}^3$.
What is the value of $V$?

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