The volume of a square room of highest 5m is 180m^3.find the cost of painting its 4 walls at the rate of Rs. 10 per meter
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The volume of a square room of highest 5m is 180m^3.find the cost of painting its 4 walls at the rate of Rs. 10 per meter
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Let x be the width of the room and y its height.
The cost of painting the walls is Rs 640 at Rs 5 per square metre. That’s an area of 640 / 5 = 128 sq m for the four walls.
The total area of the walls is 4xy. From the above, this is equal to 128 sq m, so each wall has an area of xy = 32 sq m (1).
The volume of the room is yx^2 which we are told is 256 cu m (2).
Dividing (1) into (2) gives x = 8 metres.
Substituting in (1) gives y = 4 metres. Answer.