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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Let, the hight of the hall be, H metres.
Length of the hall, L=15 metres.
The breadth of hall, B=12 metres.
Sum of the area of floor and ceiling
=L*B+L*B
=2(L*B)
= 2*(15*12) sq.m
=360 sq.m
Sum of the area of four walls
=L*H+L*H+H*B+H*B
=2(L*H+H*B)
=2H(L+B)
=2H(15+12) sq.m
=2*27*H
=54H
Given, 54H=360
So, H= 203
So, The volume of the hall will be,
V=L*H*B
=15*12* 203 cubic metre
=1200 cubic metre
Step-by-step explanation:
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Answered by
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Answer:
above answer is correct
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