# A hall is 15 m long and 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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by NeilRay

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by NeilRay

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breadth= 12m

area of ceiling and floor 2*2(l+b)

2*2(15+12)=108m

Given that area of floor and ceiling is equal to area of 4 walls

Hence area of four walls= 108m

2h(l+b)=108

2h(15+12)=108

54h=108

h=108/54=2m

Now volume = l*b*h

15*12*2=360 metre cube

So volume of hall is 360 meter cube

2[15+12]*h=2{12*15}

h=180/27 m =20/3 m

v=[15*12]20/3

v=1200m3

h=180/27 m =20/3 m

v=[15*12]20/3

v=1200m3