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

Jul 4, 2015

The surface area to volume ratio is $\text{1/3r} : 1$, 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)