# 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

Answers (1)

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

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\times b\times h)=(15\times 12\times 20/3)=1200m^3$

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