Question
A cuboidal room has a length of 28 metres and a width of
16 metres. The volume of air in the room is 2240 cubic metres. What will be the cost of painting the side walls of the room if the painting rate is Rs. 32 per square metre?Solution
Volume of the air in the room = length X width X height = 28 X 16 X height = 2240 So, height of the room = 2240 ÷ (28 X 16) = 5 metres So, area of large side of the wall = length X height = 28 X 5 = 140 m2 Area of small side of the wall = 16 X 5 = 80 m2 So, total area of the wall = (140 X 2) + (80 X 2) = 440 m2 So, cost of painting the side walls of the room = 440 X 32 = Rs. 14,080
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