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Question

The length, breadth, and height of a room are 5m,4m,and3m respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of Rs.10persqm.


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Solution

The length of a room =5m

The breadth of a room=4m

The height of a room =3m

Step 1: Calculate the total surface area of whitewashing.

Area of four walls of the room =2h(l+b)=2×3(5+4)=6x9=54sq.m

Area of the ceiling=l×b=5×4=20sqm.

The total area of the four walls and the ceiling of the room =54+20=74sq.m

Step 2: Calculate the cost of the whitewashing.

Cost of whitewashing =Rs.10persq.m

Therefore, the total cost of whitewashing =74×10=Rs.740

Hence, the total cost of whitewashing the room is Rs.740


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