The two solids are similar and the ratio between the lengths of their edges is 2:9. What is the ratio of their surface areas?
2 answers:
Hello,
During a dilatation of ratio k (length ratio),
area are multiplied by k² and volume bu k^3.
A)
(2/9)²=4/81 answser A
B) (3/5)²=9/25 Answer D
we know that
If two solids are similar
then
the ratio of their corresponding sides are equal and is called the scale factor
Part 1)
In this problem

The ratio of their surface areas is equal to the scale factor squared

therefore
the answer is the option A

Part 2)
In this problem

The ratio of their surface areas is equal to the scale factor squared

therefore
the answer is the option D

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