Image: Comparison of surface area vs volume of shapes

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Description: Graphs of surface area A, against volume V, of all five Platonic solids and a sphere. It shows that the surface area decreases for rounder shapes (sphere being the lowest), and the surface-area-to-volume ratio decreases with increasing volume. The dashed blue lines show that when the volume of a randomly selected solid increases 8 (2³) times, its surface area increases 4 (2²) times. The dotted black line shows surface-area-to-volume ratio of 1.
Title: Comparison of surface area vs volume of shapes
Credit: Own work Hamiltonian platonic graphs.svg
Author: cmglee
Usage Terms: Creative Commons Attribution-Share Alike 3.0
License: CC BY-SA 3.0
License Link: https://creativecommons.org/licenses/by-sa/3.0
Attribution Required?: Yes

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Surface-area-to-volume ratio

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