1. The sum of the dimensions of a room (i.e. length, breadth and height) is 24 metres and its length, breadth and height are in the ratio of 8: 7 : 5 respectively. If the room is to be painted at the rate of Rs. 12 per m2, what would be the total cost incurred on painting only the four walls of the room (in Rs.)?
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By: anil on 05 May 2019 01.37 am
Let the dimension of the room be $$8x , 7x , 5x$$ metres Acc. to ques, => $$8x + 7x + 5x = 24$$ => $$x = frac{24}{20} = 1.2$$ metres Curved surface area of the room = $$2 h (l + b)$$
= $$2 imes 5x imes (8x + 7x) = 10x imes 15x$$ = $$150 (x)^2 = 150 imes (1.2)^2$$ = $$150 imes 1.44 = 216 m^2$$ $$ herefore$$ Total cost incurred on painting only the four walls of the room = $$12 imes 216$$ = $$Rs. 2,592$$
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= $$2 imes 5x imes (8x + 7x) = 10x imes 15x$$ = $$150 (x)^2 = 150 imes (1.2)^2$$ = $$150 imes 1.44 = 216 m^2$$ $$ herefore$$ Total cost incurred on painting only the four walls of the room = $$12 imes 216$$ = $$Rs. 2,592$$