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The volumes of two similar figures are 343 mm cubed and 512 mm cubed If the surface area of the larger figure is 192 mm squared what is the surface area of the smaller figure?
Wiki User
∙ 13y ago
If the volumes are 343 mm3 and 512 mm3 then these represent a three dimensional object. The equivalent ratio of a single dimension is ³√343 : ³√512 = 7 : 8.
Areas are proportional to the square of the single dimension, namely 72 : 82 = 49 : 64.
Let A be the surface area of the smaller figure.
As the areas are proportional then A/192 = 49/64
Therefore A = 192 x 49/64 = 147 mm2.
Wiki User
∙ 13y ago
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