 Hi and welcome to the session. My name is Mansi and I am going to help you with the following question. The question says Shanti Sweets stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions 25 cm x 20 cm x 5 cm And the smaller of dimensions 15 cm x 12 cm x 5 cm For all the overlaps 5% of the total surface a rise required extra If the cost of the cardboard is Rs 4 for 1000 cm square Find the cost of cardboard required for supplying 250 boxes of each kind Let us start with a solution to this question First of all we see that in case of bigger box length is 25 cm width is 20 cm and height is 5 cm This is given to us in the question So the total surface area will be equal to 2 x LB plus BH plus HL We simply put in the values here and we get 2 x 25 x 20 plus 20 x 5 plus 25 x 5 This is equal to 2 x 500 plus 100 plus 125 That is equal to 2 x 725 and 2 x 725 is 1450 So total surface area is 1450 cm square Now we see that in case of smaller box It is given to us in the question that L is 15 cm B is 12 cm and H is 5 cm Now we can denote this by L dash B dash and H dash Again the total surface area for the smaller box will be equal to 2 x L dash B dash plus B dash H dash plus H dash L dash Again we simply put in the values we have 2 x 15 x 12 plus 12 x 5 plus H dash into L dash that is 15 x 5 This is equal to 2 x 180 plus 60 plus 75 That is equal to 2 x 315 and 2 x 315 is 630 So the total surface area for smaller box is 630 cm square So we see that total surface area of boxes of each type will be equal to 250 x 1450 plus 630 Because totally we have 250 boxes This is equal to 250 x 2080 And that is equal to 5,020,000 cm square Now it is given to us in the question that for all the overlaps 5% of the total surface area is required extra So cardboard required will be equal to 5,020,000 into 105 by 100 Because it is given that 5% extra is required that means totally 105% is required So we have 105 divided by 100 into 5,020,000 that is 105% of 5,020,000 Because it is given to us in the question that 5% extra is required And this is equal to 5,46,000 cm square Now it is given to us in the question that cost of 1,020,000 cm square of cardboard is equal to rupees 4 Therefore total cost of cardboard will be equal to rupees 5,46,000 divided by 1000 into 4 And that is equal to... Now we see that this can be written as rupees 5,46 into 1000 into 4 divided by 1000 Now cancelling 1000 from numerator to denominator we have rupees 5,46 into 4 That is rupees 2,184 So our answer to this question is rupees 2,184 So I hope that you understood the solution and enjoyed the session. Have a good day