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Q.

The dimension of a room is 10 m ×8 m ×4 m. There are 3 windows and 1 door of dimensions 1.5 m ×0.8 m and 2 m ×1.6 m respectively. Find the cost of whitewashing the rooms and the ceiling from inside at a rate of Rs 12.50 per m2.

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a

Rs 2475

b

Rs 2235

c

Rs 2715

d

Rs 2585

answer is D.

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Detailed Solution

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Given that the length (l), breadth (b), and height (h) of the cuboidal-shaped room are 10 m, 8 m, and 4 m respectively.

Therefore, area of 4 walls and ceiling from inside = 2h(l+b) + lb 

= 2 ×4 m ×(10 m + 8 m) + 10 m ×8 m

= (144 + 80) m2

= 224 m2

Area of 3 windows = 3 ×1.5 m ×0.8 m = 3.6 m2

Area of 1 door = 2 m ×1.6 m = 3.2 m

Now, area of 4 walls and ceiling, which does not include the 3 windows and the door = [224 − (3.6 + 3.2)] m2= 217.2 m2

Therefore, cost of whitewashing = Rs (12.50 ×217.2) = Rs 2715

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