 Hello and welcome to the session. In this session we discuss the following question which says a pit 4 meters long and 3 meters wide is dug to a certain depth. If the volume of the earth taken out of it is 24 meter cube, what is the depth of the pit? Before moving on to the solution, let's recall the formula for the volume of a cube boil. This is equal to L into B into H where L is the length of the cuboid, B is the depth of the cuboid and H is the height of the cuboid. This is the key idea for this question. Now let's move on to the solution. We are given that the length of the pit is 4 meters that is L is equal to 4 meters, then the depth of the pit is 3 meters that is we have B is equal to 3 meters and the volume of the earth taken out is 24 meters cube. So volume of taken out is equal to 24 meter cube. We need to find the depth of the pit that is we need to find H. Now using the formula for the volume of cuboid we get that the volume of taken out is equal to length of the pit L into the width of the pit B into the depth of the pit H. Now substituting the values for the volume, length and depth. So we get 24 meter cube is equal to 4 meter into 3 meter into H. So this gives us the depth of the pit H is equal to 24 meter cube upon 4 meters into 3 meters that is 24 meter cube upon 12 meter square. Now 12 times is 24 and so we get H is equal to 2 meters that is the depth of the pit H is equal to 2 meters. Hence the final answer is 2 meters. So this completes the session hope you have understood the solution for this question.