SOLUTION: the surface area of a rectangular prism is 450 m2. what will be the new surface area if all the dimensions are doubled

Question 1137593: the surface area of a rectangular prism is 450 m2. what will be the new surface area if all the dimensions are doubled

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The new prism with all dimensions doubled is similar to the original, with a scale factor 2:1.

In similar figures with scale factor a:b, the ratio of corresponding area measurements is a^2:b^2, and the ratio of corresponding volume measurements is a^3:b^3.

So in this problem, with a scale factor of 2:1, the ratio of areas is 4:1; that means the surface area of the new prism is 4*450 = 1800 m^2.
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