Question : A godown is 15 m long and 12 m broad. The sum of the area of the floor and the ceiling is equal to the sum of the area of the four walls. The volume (in m3) of the godown is:
Option 1: 900
Option 2: 1200
Option 3: 1800
Option 4: 720
Correct Answer: 1200
Solution :
Given: A godown is 15 m long and 12 m broad.
The sum of the area of the floor and the ceiling is equal to the sum of the four walls.
Let the height of the hall be H.
The area of floor = sum of area of ceiling = 15 × 12 = 180 m
2
Total area of floor and ceiling = 180 + 180 = 360 m
2
Sum of area of 4 walls = 2H(15+12) = 54H
According to the question,
54H = 360
⇒ H = $\frac{20}{3}$
So, the volume of the hall = length × breadth × height
= $15\times12\times (\frac{20}{3})$
= 1200 m
3
Hence, the correct answer is 1200.
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