A helium-filled blimp stays aloft since helium is less dense than regular air, so helium will rise above regular air. The density of helium is about
1.1 kg/m31.1\text{ kg/m}^3
1.1 kg/m
3
1, point, 1, start text, space, k, g, slash, m, end text, cubed
less than regular air, which means a cubic meter of helium can lift about
1.1 kg1.1\text{ kg}
1.1 kg
1, point, 1, start text, space, k, g, end text
. A blimp with a mass of
2.13×105 kg2.13\times10^5\text{ kg}
2.13×10
5
kg
2, point, 13, times, 10, start superscript, 5, end superscript, start text, space, k, g, end text
can carry as much as
2×105 m32\times10^5\text{ m}^3
2×10
5
m
3
2, times, 10, start superscript, 5, end superscript, start text, space, m, end text, cubed
of helium.
If the average mass of a person with luggage is
102 kg10^2\text{ kg}
10
2
kg
10, squared, start text, space, k, g, end text
, what is the number of passengers the blimp can carry?