# What is the ratio of the surface areas of similar solids whose similarity ratio is 4 : 7?

What is the ratio of the surface areas of similar solids whose similarity ratio is 4 : 7?
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Derrick

Step 1
Given Similarity $ratio=\frac{4}{7}$
Similarity ratio : if two solids are similar then. their corresponding sides are all proportional.
Step 2

Surface area is two dimensional property.

$={\left(\frac{4}{7}\right)}^{2}=\frac{16}{49}$