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 the four walls, the volume of the hall is:

720
900
1200
1800

Correct answer: 1200

Solution

Let the height be h. Floor and ceiling area together = 2 × 15 × 12 = 360 m². Four walls area = 2h(15+12) = 54h. Equating them gives 54h = 360, so h = 20/3 m and volume = 15 × 12 × 20/3 = 1200 m³.

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