- #1

Dragynfyre

- 20

- 0

Here's an example. One container is a sphere and one container is in the shape of a cube. Now let's say both containers have the same volume of 1m

^{3}.

According to the volume formula for a cube the dimensions of the cube will be:

1m*1m*1m

Therefore surface area of a cube is

6m

^{2}

According to the volume formula of a sphere the radius of the sphere will be roughly 0.62m and will have a surface area of 4.83m

^{2}

As you can see the cube has a larger surface area compared to the sphere even though they both have the same volume. Now since Pressure=Force/Area wouldn't the pressure in the sphere be higher than the pressure in the cube? I would expect if the number of gas molecules in the container are the same and temperature is also the same then the force applied on the container would be the same.

So basically my question is what am I missing here?