How to find the mass of air in a room knowing that the length is 12.3, the width is 2.56, and the height is 3.2.

Given:

a = 12.3 meters – the length of the room;

b = 2.56 meters – the width of the room;

c = 3.2 meters – room height;

ro = 1.3 kilograms / cubic meter – air density (under normal conditions).

It is required to determine the mass of air m (kilogram).

Since it is not specified in the problem statement, we assume that the room has the geometric shape of a rectangular parallelepiped. Then, the volume of the room will be equal to:

V = a * b * c = 12.3 * 2.56 * 3.2 = 31.488 * 3.2 = 100.8 m3 (the result is rounded to one decimal place).

The air mass will be equal to:

m = ro * V = 1.3 * 100.8 = 131.04 kilograms.

Answer: the mass of air in a room is approximately 131 kilograms.