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  • The length of a hall is 20m and width 16m . The sum of the area of the floor and the flate roof is equal to the sum of the area of the four walls . find the height and the volume of the hall .

The length of a hall is 20m and width 16m . The sum of the area of the floor and the flate roof is equal to the sum of the area of the four walls . find the height and the volume of the hall .

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 solution : Let the height of the hall be h m . Then , 

                sum of the areas of four walls = 2(l+b)h m^2=2(20+16)h m^2=72h m^2

sum of the areas  of the floor and flat roof = (20 imes16+20 imes16)m^2=640m^2

It is given that the sum of the areas of four walls is equal to the sum of the areas of the floor and roof. 

herefore              72h= 640Rightarrow h=frac64072m=8.88m

So, height of the the hall =8.88 m 

               Volume of the hall =20 imes 16 imesfrac809m^3=frac256009m^3=2844.4m^3

Posted by

Deependra Verma

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