Exercise 6 Page 746

Similar solids have the same shape and all of their corresponding dimensions are proportional. The ratio of corresponding linear dimensions of two similar solids is the scale factor. With this in mind, we will consider the given cylinders to determine whether they are similar or not.

Let's see whether the corresponding linear dimensions are proportional.

18/12 ? =30/20

ReduceFrac

a/b=.a /6./.b /6.

3/2 ? =30/20

ReduceFrac

a/b=.a /10./.b /10.

3/2 = 3/2 ✓

Since the corresponding linear dimensions are proportional, the solids are similar. The scale factor is 3:2.