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

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[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.] Error: {{Lang-xx}}: text has italic markup (help)

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Date

2013-06-14 19:18 (UTC)

Author

cmglee

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current01:39, 17 January 2024Thumbnail for version as of 01:39, 17 January 2024512 × 512 (23 KB)Isidore (talk | contribs)=={{int:filedesc}}== {{Information |Description={{en|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...

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