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If two solids are similar and have a linear ratio of 2:5, what is the ratio of the areas?

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If two solids are similar and have a linear ratio of 2:5, what is the ratio of the areas?

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  1. In any two similar solids, any corresponding lengths are in the same ratio as the scale factor.  In this case, that's 2:5.

    Any corresponding areas are in the ratio of the square of the scale factor.  Here, 4:25.

    Any corresponding volumes are in the ratio of the cube of the scale factors.  Here, 8:125.

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