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
, find the cost of cardboard required for supplying 250 boxes of each kind.
Solution:
Length of bigger cardboard box
cm
Breadth of bigger cardboard box
cm
Height of bigger cardboard box
cm
Surface area of bigger cardboard box
Surface Area of 250 bigger cardboard boxes
(1)
Length of smaller cardboard box
cm
Breadth of smaller cardboard box
cm
Height of smaller cardboard box
cm
Surface area of smaller cardboard box
Surface Area of 250 smaller cardboard boxes
(2)
Adding (1) and (2), surface area of 250 smaller and 250 bigger boxes
It is given that 5 % extra of total surface area is needed for the overlaps. Therefore, total surface area needed for making boxes including overlaps
percent of
of cardboard costs Rs 4
1
of cardboard would cost Rs
546000
of cardboard would cost Rs (
Rs 2184
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