 Hi and welcome to the session. Let us discuss the following question. The question says describe how the two figures at the right are alike and how they are different. Which box has larger lateral surface area? Before proceeding for the solution let's recall Lateral surface area of a cylinder is equal to 2 pi r h where r is the radius and h is the height of the cylinder. Also recall lateral surface area of a cube and that is equal to 2 4 into L square where L is the length of the side of a cube. This is the key idea for this question. Now let's see its solution. In this question first of all we need to find out the similarity and the difference between these two boxes. So let us start with the similarity as we can notice that the height of cylinder is 7 centimeters and the height of the cube is also 7 centimeters. So we can say that the height of both the boxes is same. This is the first similarity between these two boxes. So we can write that height of both the boxes is same that is 7 centimeters. Now this length is also 7 centimeters and the length of the cube is also 7 centimeters. So we might say that they both have same length but no. This length that is 7 centimeters represents the diameter of the cylinder and the length 7 centimeter here in the cube represents the length of the cube. So that means these two are not similar. So this is the only similarity between these two boxes. Now comes the difference between these two boxes. Now this is a cylinder and this is a cube. So very simple this is the difference between these two boxes that one is a cylinder and other is a cube. So we can write first box is a cylinder and second box is a cube. So this is the difference between these two boxes. Now we need to find that which box has larger lateral surface area. So first of all let us find out the lateral surface area of the cylinder. So here let us write for cylinder diameter is equal to 7 centimeters. So this implies radius is equal to 7 upon 2 centimeters also the height h is equal to 7 centimeters. So the lateral surface area of the cylinder is equal to 2 pi rh. Let us substitute the values 2 into pi and the value of pi is 22 by 7 into r r that is radius is equal to 7 upon 2 centimeters. So 7 upon 2 into h h is 7 centimeters. So we will get centimeter into centimeter that is centimeter squared here 7 and 7 will get cancelled and 2 and 2 will also get cancelled. So we will get 22 into 7 centimeters squared that is 154 centimeters squared. Now let us find out the lateral surface area of the cube. So let us write for cube side or length l is equal to 7 centimeters. So lateral surface area of the cube is equal to 4 into l square. So let us write it here 4 into l square. Now substituting the values we get 4 into 7 square centimeter into centimeter that is centimeter square that is equal to 196 centimeters squared. So now the lateral surface area of the cylinder is 154 centimeters squared and the lateral surface area of the cube is 196 centimeters squared. So that means cube has larger lateral surface area. So we will write cube has larger lateral surface area. Now let us write the final answer for this question. First of all the similarity and similarity is that both have same heights. Now comes the difference and difference is one is a cylinder. Now there is a cube. Now comes the lateral surface area. So the cube has larger lateral surface area. So this is our required answer. With this we finish this session. Hope you must have understood the question. Goodbye take care and have a nice day.