Glass Box

Geometry Level 1

A cuboid water tank is partially filled with \(\SI{160}{\centi\meter}^3\) of water. Depending on which face it rests on, the height of water in the tank is \(\SI{2}{\centi\meter}, \SI{5}{\centi\meter},\) or \(\SI{4}{\centi\meter}.\)

What is the volume of this tank \(\big(\)in \(\si{\centi\meter\cubed}\big)?\)

Note: The diagram is not drawn to scale.

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