File:Comparison_of_surface_area_vs_volume_of_shapes.svg
From Wikipedia, the free encyclopedia
Size of this PNG preview of this SVG file: 512 × 512 pixels. Other resolutions: 240 × 240 pixels | 480 × 480 pixels | 768 × 768 pixels | 1,024 × 1,024 pixels | 2,048 × 2,048 pixels.
Original file (SVG file, nominally 512 × 512 pixels, file size: 23 KB)
This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
DescriptionComparison of surface area vs volume of shapes.svg |
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 |
|
Author | cmglee |
Licensing
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.
Items portrayed in this file
depicts
14 June 2013
image/svg+xml
ee5700132d5e05c6874ee2595c332d59025ea843
23,128 byte
512 pixel
512 pixel
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 23:41, 26 August 2021 | 512 × 512 (23 KB) | Cmglee | Use own shapes from http://commons.wikimedia.org/wiki/File:Hamiltonian_platonic_graphs.svg | |
00:35, 21 November 2019 | 512 × 512 (27 KB) | Cmglee | Note increasing volume 8 times increases area 4 times. | ||
19:20, 14 June 2013 | 512 × 512 (26 KB) | Cmglee | {{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... |
File usage
The following pages on the English Wikipedia use this file (pages on other projects are not listed):
Global file usage
The following other wikis use this file:
- Usage on ca.wikipedia.org
- Usage on de.wikipedia.org
- Usage on en.wikibooks.org
- Usage on fa.wikipedia.org
- Usage on fa.wikibooks.org
- Usage on fr.wikipedia.org
- Usage on gl.wikipedia.org
- Usage on he.wikipedia.org
- Usage on id.wikipedia.org
- Usage on it.wikipedia.org
- Usage on ja.wikipedia.org
- Usage on ms.wikipedia.org
- Usage on no.wikipedia.org
- Usage on pt.wikipedia.org
- Usage on tr.wikipedia.org
- Usage on vi.wikipedia.org
Metadata
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
If the file has been modified from its original state, some details may not fully reflect the modified file.
Short title | Graphs of surface area vs volume of the Platonic solids and a sphere |
---|---|
Image title | Graphs of surface area, A against volume, V of all 5 Platonic solids and a sphere by CMG Lee, showing that the surface area decreases for rounder shapes, and the surface-area-to-volume ratio decreases with increasing volume. The dashed lines show that when the volume increases 8 (2³) times, the surface area increases 4 (2²) times. Shapes are from http://commons.wikimedia.org/wiki/File:Hamiltonian_platonic_graphs.svg . |
Width | 100% |
Height | 100% |