SOLUTION: do similar solids have equal surface areas?

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Question 206796: do similar solids have equal surface areas?
Answer by mickclns(59) About Me  (Show Source):
You can put this solution on YOUR website!
The squares of their surface areas are proportional.
In other words, suppose you have two similar cones, say the radius of the base and height of the smaller one are 2%2F3 of the radius of the base and height, respectively, of the larger one. Then the surface area of the smaller one will be %282%2F3%29%5E2=4%2F9 of the surface area of the larger.