SOLUTION: Two similar solids have surface areas of 112 in2 and 175 in2. If the smaller solid has a side length of 20 inches, how long is the corresponding side in the larger solid (in inches
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Question 1119143: Two similar solids have surface areas of 112 in2 and 175 in2. If the smaller solid has a side length of 20 inches, how long is the corresponding side in the larger solid (in inches)?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The ratio of surface areas is 112/175 = 16/25, or 16:25.
The ratio of surface areas is the square of the scale factor (ratio of linear measurements), so the scale factor is 4:5.
So if the side length of the smaller solid is 20, the side length of the larger solid is 25:
4:5 = 20:x
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