Similarity Day 1.notebook
April 08, 2015
DIRT
1) Solve: 3p + 5p ­ (2p + 7) ­ p = 4p + 8p ­ 2(5p ­ 4)
2) Find the surface area and volume of a cylinder with a diameter of 3 units and height of 7.5 units. Provide the exact answer and the answer rounded to the nearest unit. May 1­8:50 AM
Chapter 10B ­ 10.8 ­ Similarity
Objective: To find relationships between the ratios of the areas and
volumes of similar solids
The ratio of the side length is a : b. (sim rat)
The ratio of the surface areas is a2 : b2. (r of areas)
The ratio of the volumes is a3 : b3. (r of volumes)
Using the ratio relationships above, fill in the table with the missing information: Similarity Ratio Ratio of Areas Ratio of Volumes
2:3
9:16
27:64
May 1­8:50 AM
Similarity Day 1.notebook
April 08, 2015
Are the solids similar? If so, state the similarity ratio.
3
2
4.65
3.1
May 1­8:52 AM
Given the following two similar solids, find the a)sim ratio
b) ratio of surface areas
c) ratio of volumes
r = 5
r = 4
May 1­8:52 AM
Similarity Day 1.notebook
April 08, 2015
The pair of shapes are similar. Find the similarity ratio of the smaller figure to the larger figure.
V = 625 m3
V = 40 m3
May 1­8:53 AM
The pair of shapes are similar. Find the similarity ratio of the smaller figure to the larger figure.
SA =98 ft
2
SA =2 ft
2
May 1­8:53 AM
Similarity Day 1.notebook
April 08, 2015
Find the similarity ratio of two spheres with volumes of 20 m and 160 m .
3
3
20 m
160 m3
3
May 1­8:53 AM
May 1­9:07 AM
Similarity Day 1.notebook
April 08, 2015
Practice
Complete the following table:
Similarity Ratio Ratio of Areas Ratio of Volumes
3:5
49:81
125:512
Pages 568­569 # 1­10
May 1­9:04 AM