Question

A rectangular gymnasium is 50 m long, 25 m wide and 8.0 m high.

The density of air is 1.2 kg/mº.
What is the best estimate of the mass of air in the gymnasium?

Answer 1

`\text{Volume,}~V = 50 * 25 * 8 = 10000~ m^3\\\\\text{Density,}~\rho = 1.2 ~ kg ~m^(-3)\\ \\\\\text{We know that,}\\\\`~~~~~~~\rho = (m)/(V)\\\\\implies m = \rho V \\\\\implies m = 1.2 * 10000 = 12000~kg}\\\\\text{Hence the mass of air is 12000 kg.}`