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Question

A milk tin in the shape of a cuboid has dimensions 23 cm × 24 cm × 45 cm . If 1 sq.m sheet costs  ₹ 10, then the total cost for making 20 such tins is _______. 
  1. ₹ 106.6
  2. ₹ 136.6
  3. ₹ 126.6
  4. ₹ 116.6


Solution

The correct option is A ₹ 106.6
Given the dimensions of the cuboidal milk tin:
Length (l) = 23 cm,
Breadth (b) = 24 cm,
and Height (h) = 45 cm.

Total surface area of one milk tin is
2(lb+bh+hl).

Total surface area of the tin sheet required
= Total surface area of 20 milk tins

Area of 20 milk tins = 20×2(lb+bh+hl)
=20×2(23×24+24×45+45×23)
=106680 cm2
=10.66 m2 (1 m2=10000 cm2)

Cost of 1 m2 tin sheet = ₹ 10.

Hence , the cost of  10.66  m2 tin sheet = ₹ 10 × 10.66 = ₹ 106.6
So, total cost for making 20 such tins
= ₹ 106.6

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