 Welcome to the session. Today we will discuss the following question. The question says, a suitcase with measures 80 cm by 48 cm by 24 cm is to be covered with a tarpaulin cloth. How many meters of tarpaulin of width 96 cm is required to cover 100 such suitcases? Before proceeding for the solution let's recall the formula of surface area of a cuboid that is equal to 2 into L into B plus B into H plus H into L where L is the length of the cuboid, B is the width and H is the height. Also recall area of a rectangle that is L into B where L is the length of the rectangle and B is the width of the rectangle. This is the key idea for this question. Now let's see its solution. Let us assume that this figure represents the suitcase with length 80 cm, width 48 cm and height 24 cm. So for suitcase length that is L is equal to 80 cm, width that is B is equal to 48 cm and finally height that is H is equal to 24 cm. Now we need to find the amount of cloths required to cover this suitcase. For that we will find its total surface area. And total surface area and surface area are one and the same thing. So let's write surface area of suitcase is equal to Now this is 2 into L into B plus B into H plus H into L. By the key idea we will substitute the values and get 2 into L into B that is 80 into 48 plus B into H that is 48 into 24 plus H into L and H into L is 24 into 80 and the unit will be centimeter into centimeter that is centimeter square that is 2 into 3840 plus 1152 plus 1920 centimeter square that is 2 into 6,912 centimeter square and this gives 13,824 centimeter square So the amount of cloths required to cover one suitcase is equal to 13,824 centimeter square Now this is the surface area of one suitcase therefore surface area of 100 suitcase is is equal to 100 into 13,824 centimeter square that is equal to 13,824 centimeter square Now in question we are given that the width of the tarpulin cloth is 96 centimeters thus the tarpulin cloth will be in the form of a rectangle so that means we need to find the length of the tarpulin cloth so that it covers the area of 13,824,00 centimeter square that means area of rectangular tarpulin cloth is equal to 13,824,00 centimeter square and we know that the area of a rectangle is length into width that is L into B so here we can write that area is equal to L into V and here for the tarpulin cloth L we need to find out and B is given to be 96 centimeters so that means area that is 13,824,00 is equal to L into B that is 96 Now dividing both sides by 96 we will get 13,824,00 over 96 equal to L into 96 over 96 so this will give us 144,00 equal to L therefore we can say that length of tarpulin cloth is equal to 14,400 centimeters now we need to find the length of the tarpulin cloth in meters so let's see now we know that 1 centimeter is equal to 1 upon 100 meters so this implies 14,400 centimeters will be equal to 14,400 upon 100 meters that is equal to 144 meters so length of the tarpulin cloth is equal to 144 meters therefore 144 meters of tarpulin cloth is required to cover 100 suitcases and this is our required answer with this we finish this session hope you must have understood the question goodbye and take care