A hall is 15m long and 12m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of the 4 walls, what is the volume of the hall?
A
2200m3
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B
1500m3
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C
1620m3
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D
1200m3
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Solution
The correct option is D1200m3 Area of floor + Area of ceiling =Area of four walls ⇒lb+lb=2×h×(l+b), where l, b, h are the length breadth and height of the hall ⇒lb=h×(l+b) ⇒15m×12m=h×(15m+12m) ⇒h=15×1227m=203m ∴ Volume of the hall =l×b×h=15m×12m×203m=1200m3