Question 66

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(in $$m^3$$) of the  hall is:

Solution

Area of the floor and ceiling will be same and it is equal 
i.e l*b=15*12=180 sq m
Area of four walls will be 2*l*h+2*b*h=2h(l+b)
2h(l+b)=360
h(12+15)=180
h=180/27
h=20/3
Volume=l*b*h=12*15*20/3
=1200 cubic meters


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