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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, the volume of the hall (in m³) is

Question and options

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, the volume of the hall (in m³) is
  1. 720
  2. 900
  3. 1200
  4. 1800

Answer and explanation

Correct answer: C - 1200
2(15×12)=2h(15+12)2(15 \times 12) = 2h(15 + 12) gives 360=54h360 = 54h, h=203h = \frac{20}{3} m. Volume =15×12×203=1200 m3= 15 \times 12 \times \frac{20}{3} = 1200\ \mathrm{m^3}.

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