Lessons

1. Basics
 2. Deductive Reasoning
3 - Parallel lines
4 - Congruent Triangles
5 - Quadrilaterals
6 - Inequalities
7 - Similar Polygon
8 - Rt. Triangles
9 - Circles
10 - Constructions
11 - Areas of 2D objects
12 - Areas and Volumes
13 - Coordinates

 

Areas and Volume of Similar Solids

 

Objective:

             • Finding areas and volumes of Similar solids

       

Lesson 12-2 Similar Solids

             Similar Solids: Solids that have the same shape but not necessarily the same size.

        

Theorem 12-11

If the scale factor of two similar solids is a:b , then (1) the ratio of corresponding perimeters is a:b (2) the ratio of the base areas, and of the total areas is a2:b2 (3) the ratio of the volumes is a3:b3

 

The scale factor is 5:10

a. Ratio of base perimeters = 5:10

b. Ratio of lateral areas = 52:102

C. Ratio of the volumes = 53:103

 

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