Q. 63.9( 23 Votes )

The length, breadth, and height of a room are 10 m, 2.5 m, and 4 m respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of Rs 10.25 per m2.

Answer :

Concept Used:


Total Surface Area of Cuboid – Area of ceiling = 2lh + 2bh + lb


Given:


Length of the room = 10 m


The breadth of the room = 2.5 m


The height of the room = 4 m



Assumption: Let l be the length, b the breadth and h the height of the room.


Explanation:


It can be observed that four walls and the ceiling of the room are to be whitewashed.


The floor of the room is not to be white-washed.


The area to be white - washed = Area of walls + Area of the ceiling of the room


= 2lh + 2bh + lb


= [2 × 10 × 2.5 + 2 × 2.5 × 4 + 4 × 10] m2


= (50 + 20 + 40) m2


= 110 m2


Area to be whitewashed = 110 m2


Cost of white-washing per m2 area = Rs 10.25


Cost of white-washing 74 m2 area = Rs (10.25 × 110)


= Rs. 1127.50


Hence, the cost of whitewashing is Rs. 1127.50.


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