A metal box in the form of a rectangular prism has an \(18\) cm by \(22\) cm base and a height of \(77\) cm. The box is to be filled with water, which will then be frozen. When water freezes it expands by approximately \(10\%\). Determine the maximum depth to which the box can be filled with water so that when the water freezes, the ice does not go above the top of the container.
Themes: Geometry & Measurement, Number Sense