A hall is 15 m long and 12 m wide. If the sum of areas of

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A hall is 15 m long and 12 m wide. If the sum of areas of the floor and ceiling is equal to the sum of the area of its four walls, then the volume of the hall in cubic meter is ______________

1. 2200 to 2300
2. 500 to 600
3. 1200 to 1200
4. 600 to 1000

Correct Option: C

Area of floor =15 × 12 = 180m2
Area of ceiling = 15 × 12 = 180 m2
Let the height of the wall be 'H' meter
According to the question,
Area of Floor + Area of ceiling = Area of four walls
So, 180 + 180 = wall perimeter × height of wall
So, 360 = [2(15 + 12)] × H
So, 360 = 54H

So , H =	20	meters
	3

Therefore, volume of room = Length × Breadth × Height

= 15 × 12 ×	20	= 1200 m³
	3