Chapter Ten:  
Surface Area and Volume

Geometry   Notes

Chapter  10

Section  10.1
Section  10.2
Section  10.3
Section  10.4
Section  10.5
Section  10.6
Section  10.7
Section  10.8

Geometry Contents

 

Take notes on the following topics.

Section 10-8  Areas and Volumes of Similar Solids

Vocabulary

Similar solids (p. 566) Similar solids have the same shape and all their corresponding dimensions are proportional.

Similarity ratio (p. 566) The similarity ratio is the ratio of the lengths of corresponding sides of similar polygons.

Theorem 10-12

If the similarity ratio of two similar solids is a: b, then

(1) the ratio of their corresponding areas is a2 : b2, and

(2) the ratio of their volumes is a3 = b3