A diagram shows a cube with a volume of 4096 ext mm3. The side length of the cube is labeled as y. Find the value of y.

The problem states that the diagram shows a cube with a volume of $4096 \text{ mm}^3$. The unknown dimension, which is the side length of the cube, is labeled as $y$.

The volume $V$ of a cube with side length $y$ is given by the formula:

We have $V = 4096 \text{ mm}^3$, so:

To find $y$, we need to take the cube root of both sides:

The unknown dimension of the cube is $\text{16 mm}$.