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  • A hall is 15 m long & 12 m broad.if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls,the volume of the hall is

A hall is 15 m long & 12 m broad.if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls,the volume of the hall is

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Solution: Area of the floor=\ L imes B=15 imes 12=180

Area of floor = Area of ceiling =\ 180

Area of floor+Area of Celling =\ 180+180=360

 According to question,

   Area of floor+ Area of ceiling =Area of sum of areas of all four walls

\ Rightarrow 360=2h(l+b)\ \Rightarrow h=180/27\ Rightarrow height=20/3\ \ Rightarrow Volume=(l imes b imes h)=(15 imes 12 imes 20/3)=1200m^3

 

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Deependra Verma

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