The ratio of the areas of two similar solids is equal to the square of the scale factor, and the ratio of their volumes is equal to the cube of the scale factor.
In this case, the scale factor is 3:7.
So, the ratio of their corresponding areas is (3/7)^2 = 9/49.
And the ratio of their corresponding volumes is (3/7)^3 = 27/343.
Therefore, the ratio of their corresponding areas is 9:49, and the ratio of their volumes is 27:343.
If the scale factor of two similar solids is 3:7, what is the ratio of their corresponding areas and volumes?
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