A hall is 18 m long and 12 m board If the some of the areas of the floor and the ceiling is equal to...........

Quantitative Aptitude (MTS) Mensuration 3D

A hall is 18 m long and 12 m board. If the some of the areas of the floor and the ceiling is equal to the sum of the areas of the

four walls,the volume (in m³) of the hall is:

This questions was previously asked in

SSC MTS 12th October 2021 Shift-1

1175.5

1876.2

1555.2

1376.4

- The floor area (length x breadth) is 18 m x 12 m = 216 m².

- The ceiling has the same area as the floor = 216 m².

- Total area of the floor and ceiling together = 216 m² + 216 m² = 432 m².

- Let the height of the hall be "h".

- Total area of the four walls = 2(height x length) + 2(height x breadth) = 2(h x 18) + 2(h x 12).

- Simplified, this equals 60h m².

- According to the condition, 432 = 60h.

- Solving for "h" gives h = 7.2 m.

- Volume of the hall = length x breadth x height = 18 m x 12 m x 7.2 m = 1555.2 m³.

Correct Answer: Option 3 - 1555.2

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