Ratios of Areas & Volumes

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#18728

Ratios

ratio of sides = a : b

ratio of areas = a² : b²

ratio of volumes = a³ : b³

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#18729

The ratio of the lengths of the sides of two cubes is 1:3. Find the following: a. The ratio of their surface areas b. The ratio of their volumes.
a. sides = 1 : 3 ratio of areas = 12 : 32 = 1 : 9	the ratios of areas or surface areas are just the ratios of the sides squared
b. sides = 1 : 3 ratio of volumes = 13 : 33 = 1 : 27	the ratios of the volume are just the ratios of the sides cubed

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