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Question

An oil tin in the shape of a cuboid has dimensions, 26 cm x 26 cm x 45 cm . If 1 sq. m sheet costs ₹10 , then find the total cost for making 20 such tins.

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Solution

Given the dimensions of the cuboidal oil tin,
length (l) = 26 cm, breadth (b) = 26 cm and height (h) = 45 cm

Total surface area of oil tin = 2 (lb + bh + hl)

=> 2 (26 x 26 + 26 x 45 + 45 x 26) = 6032 cm2

=> Total area of the tin sheet required = Area of 20 oil tins
=> 20 x 6032
=> 120640 cm2
=> 12.064 m2. (because 1 m2. = 10000 cm2

=> Cost of 1 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> m2 tin sheet = ₹10

Hence, the cost of 12.064 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> m2 tin sheet = ₹ 10 x 12.064
= ₹120.64

So, total cost for making 20 such tins = ₹120.64

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