 Hello and welcome to the session. Let's work out the following question. It says two cubes each of volume 64 centimeter cube are joined end to end. Find the surface area of the resulting cuboid. So here we are given two cubes each of volume 64 centimeter cube and these two cubes are joined end to end to form a cuboid and we have to find the surface area of this cuboid. For that we need to know the dimensions of this cuboid. That is we need to know the length, breadth and the height of the cuboid. Right. So let's now move on to the solution. Now we know that volume of a cube is given by side cube centimeter cube. Now if L is the length is the side of the cube then volume of cube is L cube centimeter cube. Now here we are given that volume of cube is 64 centimeter cube. Therefore L cube is equal to 64. So this implies L is equal to 64 to the power 1 by 3 and this implies L is equal to 4 that is each side is 4 centimeter that is length, breadth and height is 4 centimeter since in the cube all the sides have the same length. So length is equal to breadth is equal to height. Now these two cubes are joined to form a cuboid. So when we join these two cubes to form a cuboid the height and the breadth will remain same that is this height and the breadth will be 4 centimeter but length will get added that is 4 centimeter plus 4 centimeter that is 8 centimeter. Now surface area cuboid is given by 2 into length into breadth plus breadth into height plus length into height centimeter square. Now here length of the cuboid is 4 plus 4 centimeter breadth is 4 centimeter and the height is 4 centimeter that is L is 8 centimeter, B is 4 centimeter and height is 4 centimeter. Now the surface area of cuboid will be 2 into length into breadth that is 8 into 4 plus breadth into height is 4 into 4 plus height into length that is 8 into 4 centimeter square. Now this is again equal to 2 into 32 plus 16 plus 32 and that is equal to 2 into 80 centimeter square and that is equal to 160 centimeter square. So the surface area of the resulting cuboid is 160 centimeter square and this is the required answer. So this completes the question and the session. Bye for now. Take care. Have a good day.