Posted by **Anonymous** on Saturday, October 20, 2012 at 2:36pm.

The volumes of two similar figures are given. The surface area of the smaller figure is given. Find the surface area of the larger figure.

V = 5 in3

V = 40 in3

S.A. = 4 in2

- geometry -
**Steve**, Saturday, October 20, 2012 at 3:14pm
since their volumes are in the ratio of 2^3:1, their areas are in the ratio of 2^2:1.

The larger figure has 4 times the area of the smaller one.

- geometry -
**greatest ever**, Wednesday, June 25, 2014 at 8:25am
volume is proportional to the cube of a linear dimension

Area is proportional to the square of a linear dimension

The ratio of the volumes is 40/5 or 8

That means the linear dimensions have the ratio of ∛8 or 2

That means the areas have the ratio of 2² or 4

so the area of the larger s 4 x 4 in² = 16 in²

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