 Hello and welcome to the session. In this session we discuss the following question which says a river 3 meter deep and 45 meters wide is flowing at the rate of 6 kilometers per hour find the volume of water that runs into the sea per minute. Before we move on to the solution we recall the formula for the volume of a cuboid this is equal to L into B into H cubic units where we have this L is the length of the cuboid B is the width of the cuboid H is the height of the cuboid this is the key idea to be used for this question Now let's move on to the solution in the question we are given that the river is 3 meters deep that is we are given the depth of the river say H be equal to 3 meters then we are given that the river is 45 meters wide that is we can say that the breadth of the river that is B is equal to 45 meters now since we are supposed to find the volume of the water that runs into the sea per minute so we should obviously have the length breadth and the height of the river we have got the depth that is say height of the river and the breadth of the river we need to find the length of the river now it's given to us that the water is flowing at the rate of 6 kilometers per hour that is rate of flow of water in the river is equal to 6 kilometers per hour now since the other dimensions that is the depth and the breadth of the river are given in meters so we will convert this 6 kilometers per hour into meters per minute since we need to find the volume of the water that runs into the sea per minute so for this we need to multiply this 6 by 1000 upon 60 so 6 into 1000 upon 60 gives us the rate of the flow of water in the river in meters per minute now the 0 and the 0 cancels, 6 and 6 cancels and we have 100 meters per minute is the rate of flow of water in the river so this rate of flow of water in the river gives us the length of the river that is L equal to 100 meters now the volume of the water that runs into the sea per minute is given by L into B into H that is equal to 100 into 45 into 3 meter cube so this is equal to 13,500 meter cube is the volume of the water that runs into the sea per minute so this is the required answer 13,500 meter cube so this completes the session, hope you have understood the solution for this question