File:Comparison of surface area vs volume of shapes.svg

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Original file ‎(SVG file, nominally 512 × 512 pixels, file size: 23 KB)

Captions

Captions

Graphs of surface area A, against volume V of all the 5 Platonic solids as well as of a sphere

Summary[edit]

Description
English: 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.
Date (UTC)
Source Own work
Hamiltonian platonic graphs.svg
Author cmglee

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Date/TimeThumbnailDimensionsUserComment
current23:41, 26 August 2021Thumbnail for version as of 23:41, 26 August 2021512 × 512 (23 KB)Cmglee (talk | contribs)Use own shapes from http://commons.wikimedia.org/wiki/File:Hamiltonian_platonic_graphs.svg
00:35, 21 November 2019Thumbnail for version as of 00:35, 21 November 2019512 × 512 (27 KB)Cmglee (talk | contribs)Note increasing volume 8 times increases area 4 times.
19:20, 14 June 2013Thumbnail for version as of 19:20, 14 June 2013512 × 512 (26 KB)Cmglee (talk | contribs){{Information |Description={{en|Graphs of surface area against volume of all 5 Platonic solids and a sphere, showing that the surface area decreases for rounder shapes, and the surface-area-to-volume ratio decreases with increasing volume.}} |Date=2013...

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