How are surface area and volume related?

To put it short, the surface area should be the derivative or partial derivative of the volume. This is because if the figure is magnified by some little factor, the incremental volume roughly equals the surface area times the incremental height. read more

Fun math practice! Improve your skills with free problems in 'Relate volume and surface area' and thousands of other practice lessons. read more

For example, the volume of a sphere and its surface area are related because they both have closed formulas and a ratio can be made of them. However, there is no general case to show that surface area and volume are always related. read more

As the cube gets bigger, the volume increases much more rapidly than the surface area, because the volume increases as the cube of the linear dimension, but the surface area increases as the square. This relationship applies, not just to cubes, but to spheres and any other fixed shape. read more