SOLUTION: A scale model of a cube has sides that are one-fortieth of the length of the original if the scale model required three gallons of paint to coat, how much paint is required to coat

Question 1104167: A scale model of a cube has sides that are one-fortieth of the length of the original if the scale model required three gallons of paint to coat, how much paint is required to coat the original with the same thickness of paint?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Since area is measured in square units, the ratio of areas in similar figures is the square of the scale factor (ratio of linear measurements).

Side length is a linear measurement; if the scale factor is 1:40, the ratio of areas is 1:1600. If the scale model required 3 gallons of paint, the original figure will require 1600*3 = 4800 gallons.
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