Question

How do you calculate surface area to volume ratio of a cube?

Answer 1

The surface area to volume ratio is `"1/3r":1`, where `r` is the radius of the sphere.

Explanation:

The formula for the volume of a sphere is

`V = 4/3πr^3`, where `r` is the radius of the sphere.

The formula for the area of a sphere is.

`A = 4πr^2`

So the surface area to volume ratio is

`"SA"/"V" = ((cancel(4π)r^2)/3)/(cancel("4π")r^3) = 1/(3r)`