File:Comparison of surface area vs volume of shapes.svg
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[edit]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. |
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Date | (UTC) | |
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Own work |
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Author | cmglee |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 23:41, 26 August 2021 | 512 × 512 (23 KB) | Cmglee (talk | contribs) | Use own shapes from http://commons.wikimedia.org/wiki/File:Hamiltonian_platonic_graphs.svg | |
00:35, 21 November 2019 | 512 × 512 (27 KB) | Cmglee (talk | contribs) | Note increasing volume 8 times increases area 4 times. | ||
19:20, 14 June 2013 | 512 × 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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Short title | Graphs of surface area vs volume of the Platonic solids and a sphere |
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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% |