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

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

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

Licensing

[edit]
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

File history

Click on a date/time to view the file as it appeared at that time.

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...

The following page uses this file:

File usage on other wikis

The following other wikis use this file:

Metadata