McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
7. Scale Drawings and Models
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Exercise 9 Page 602

Practice makes perfect
a We are given that a replica of The thinker is 10in. inches tall and that the actual sculpture is 10feet tall. To evaluate the scale of the model, we will write the ratio of replica height to actual height.
replica height/actual height=10in./10ft=1in./1ft The scale of the replica is 1in.:1ft.
b In this part, we are asked to find how many times as tall as the actual sculpture the replica is. To do this, we will multiply the scale we found in the previous part, 1in.1ft, by a conversion factor that relates inches to feet, which is 1ft12in..

1in./1ft*1ft/12in.
â–¼
Simplify
1in.*1ft/1ft*12in.
1*1/1*12
1/12

The scale factor is 112. Therefore, the replica is 112 times as tall as the actual sculpture.