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Question

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

Find the volume of the hall?


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Solution

Step-1: Solve for height of hall

Given: length(l)=15m,breadth(b)=12m

Let the height be h

According to the equation

sum of the areas of the floor and the ceiling is equal to the sum of the areas of the four walls

area of floor=l×b

area of ceiling=l×b

area of wall=2(l+b)h

so, the equation will become

l×b+l×b=2l+b×hlb=lh+bh15(12)=15(h)+12(h)180=27hh=203

Step-2: Solve for the volume of the height

Volume of hall=l×b×h

=15×12×203=1200

Hence, the volume of hall=1200m3.


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