Cuboid water tank

Geometry Level 3

A water tank is in the shape of a cuboid with a height of 80 cm80\text{ cm} and a base that measures 30 cm×40 cm.30\text{ cm} \times 40\text{ cm}.

It is tilted so that its space diagonal (the longest diagonal between two opposing vertices) becomes vertical.

Next, water is poured into the tank up to the highest point of the tilted base, as shown in the diagram to the right.

How much water (in cubic centimeters) has been poured in?


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