To find the volume of the object immersed in the water, we can use the principle of displacement. The volume of the object will be equal to the volume of water displaced by the object.
Given: Length of the tank = 80 cm Width of the tank = 40 cm Water level rise = 90 mm
First, let's convert the water level rise from millimeters to centimeters: 90 mm = 9 cm
The cross-sectional area of the tank is given by the length multiplied by the width: Area = Length × Width = 80 cm × 40 cm = 3200 cm²
Since the water level has risen by 9 cm, the volume of water displaced is: Volume of water displaced = Area × Rise in water level = 3200 cm² × 9 cm = 28800 cm³
Since 1 cm³ is equal to 1 mm³, the volume of the object in mm³ is also 28800 mm³.
Therefore, the volume of the object is 28800 mm³.