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, Find the volume (in m3) of the hall.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1200
Here length and breadth are 15m and 12m respectively
Area of floor = Area of ceiling = length × breadth
⇒ 15 × 12 = 180
Areas of four walls = 2(l + b) × h
Here, sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls
⇒ 180 + 180 = 2(15 + 12) × h
⇒ 180 = 27 × h , h = 20/3 m
Volume of hall = l × b × h
⇒15 × 12 × 20/3 = 3600/3 = 1200m3.