Shanti sweets stall was placing an order for making cardboard

Asked by admin @ in Math viewed by 273 People

"Question 7 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 × 20 cm × 5 cm and the smaller of dimensions 15 cm × 12 cm × 5 cm. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is Rs 4 for 1000 cm^2 , find the cost of cardboard required for supplying 250 boxes of each kind.

Class 9 - Math - Surface Areas and Volumes Page 213"

Answered by admin @


Dimension of bigger box = 25 cm × 20 cm × 5 cm

Total surface area of bigger box = 2(lb + bh + lh)
   = 2(25×20 + 20×5 + 25×5)
  = 1450cm2

Dimension of smaller box = 15 cm × 12 cm × 5 cm

Total surface area of smaller box = 2(lb + bh + lh)
= 2(15×12 + 12×5 + 15×5)
= 630cm2

Total surface area of 250 boxes of each type = 250(1450 + 630)                                             =250×2080 cm2 = 520000 cm2
Extra area required = 5/100(1450 + 630) × 250 cm2 = 26000 cm2

Total Cardboard required = 520000 + 26000 cm2 = 546000 cm2

Total cost of cardboard sheet = ₹(546000 × 4)/1000 = ₹ 2184

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