 Hello and welcome to the session. In this session we discuss the following question which says the diagonal of a cuboid is root 29 meters. If its length and breadth are 2 meters and 4 meters respectively, then find the height of the cuboid. Before moving on to the solution, let's recall the formula for the length of the diagonal of a cuboid. This is equal to square root of a square plus b square plus c square where we have a is the length of the cuboid, b is the breadth of the cuboid and c is the height of the cuboid. This is the key idea that we use in this question. Let's proceed with the solution now. In the question we are given the length of the diagonal of the cuboid and we are given the length and breadth of the cuboid. We need to find the height of the cuboid. So we have the length of the diagonal of a cuboid is equal to square root of 29 meters and we have the length of the cuboid say a equal to 2 meters then breadth of the cuboid that is b is equal to 4 meters. We need to find the height of the cuboid say c. Now from the key idea we have that the length of the diagonal of a cuboid is equal to square root of a square plus b square plus c square that is square root of length square plus breadth square plus height square that is we have square root of 29 which is the length of the diagonal of the cuboid is equal to square root of length square that is 2 square plus breadth square that is 4 square plus height square which is c square. We have to find the value for c. Now squaring both sides we get 29 is equal to 2 square plus 4 square plus c square that is we have 29 is equal to 4 plus 16 plus c square or you can say that c square is equal to 29 minus 20. Thus we have c square is equal to 9 or you can say c is equal to plus minus square root of 9 that is c is equal to plus minus 3. Now that the height cannot be negative so we neglect the negative value for c and we take the value of c as 3 so we get c is equal to 3 meters or you can say that height of the cuboid is equal to 3 meters. So 3 meters is our final answer. This completes the session. Hope you have understood the solution of this question.