Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required.

 For bigger boxes : 

t = 25 cm, b = 20 cm, h = 5 cm 

Total surface area of 1 bigger box = 2(lb + bh + hl) 

= 2(25 × 20 + 20 × 5 + 5 × 25) cm² 

= 2 (500 + 100 + 125) cm² = 1450 cm² 

Area of cardboard required for overlaps 

= 5% of 1450 cm2 = 1450x 5 /100 × cm² = 72.5 cm^2.

Total area of cardboard needed for 1 bigger box 

= (1450 + 72.5) cm² = 1522.5 cm² 

Total area of cardboard needed for 250 bigger boxes = 1522.5 × 250 cm² 

= 380625 cm². 

For smaller boxes : 

t = 15 cm, b = 12 cm, h = 5 cm 

Total surface area of 1 smaller box = 2 (lb + bh + hl) 

= 2(15 × 12 + 12 × 5 + 5 × 15) cm² 

= 2 (180 + 60 + 75) cm2 = 630 cm² 

Area of cardboard required for overlaps

= 5% of 630 cm² = 630x 5 /100 × cm² = 31.5 cm2 

Total area of cardboard needed for 1 smaller box = (630 + 31.5) cm² 

= 661.5 cm² 

Total area of cardboard needed for 250 smaller boxes 

= 661.5 × 250 cm² = 165375 cm² 

Now, total area of cardboard needed for 500 boxes (250 bigger and 250 

smaller boxes) = (380625 + 165375) cm² = 546000 cm² 

Cost of 1000 cm² of cardboard = Rs 4 

∴ Cost of 546000 cm² of cardboard = Rs 4/1000 × 546000 = Rs 2184 Ans

Length (l1) of bigger box = 25 cm

Breadth (b1) of bigger box = 20 cm

Height (h1) of bigger box = 5 cm

Total surface area of bigger box = 2(lb + lh + bh)

= [2(25 × 20 + 25 × 5 + 20 × 5)] cm²

= [2(500 + 125 + 100)] cm²

= 1450 cm²

Extra area required for overlapping

= (1450 x 5/100) cm² = 72.5 cm²

While considering all overlaps, total surface area of 1 bigger box = (1450 + 72.5) cm² =1522.5 cm²

Area of cardboard sheet required for 250 such bigger boxes = (1522.5 × 250) cm² = 380625 cm²

Similarly, total surface area of smaller box = [2(15 ×12 + 15 × 5 + 12 × 5] cm²

= [2(180 + 75 + 60)] cm²

= (2 × 315) cm²

= 630 cm²

Therefore, extra area required for overlapping = (630 x 5/100) cm²

= 31.5 cm²

Total surface area of 1 smaller box while considering all overlaps

= (630 + 31.5) cm² = 661.5 cm²

Area of cardboard sheet required for 250 smaller boxes = (250 × 661.5) cm² = 165375 cm²

Total cardboard sheet required = (380625 + 165375) cm² = 546000 cm²

Cost of 1000 cm² cardboard sheet = Rs 4

Cost of 546000 cm² cardboard sheet 

= Rs(546000 x 4/1000) = Rs 2184

Therefore, the cost of cardboard sheet required for 250 such boxes of each kind will be Rs 2184.