12.7 Similar Solids

1 / 8

# 12.7 Similar Solids - PowerPoint PPT Presentation

12.7 Similar Solids. By: Denana Vehab, Steven Southerland, Anisa Dokic, Edis Ramic. Vocabulary. Similar Solids- Two solids with equal ratios of corresponding linear measures, such as height or radii are called similar solids. Theorem 12.13 (Similar Solids Theorem).

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about '12.7 Similar Solids' - indiya

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### 12.7 Similar Solids

By: Denana Vehab, Steven Southerland, Anisa Dokic, Edis Ramic

Vocabulary
• Similar Solids- Two solids with equal ratios of corresponding linear measures, such as height or radii are called similar solids.
Theorem 12.13 (Similar Solids Theorem)
• If two similar solids have a scale factor of a:b then corresponding areas have a ratio of a2:b2, and corresponding volumes have a ration of a3:b3.
Example 1
• Are the two solids similar? If so, what’s the scale factor?

4

8

Not Similar

2

3

1

6

8

4

Similar, Scale Factor = 2

2

1

4

8

Example 2
• Find the surface area of G when the surface area of F = 24 ft2 and the ratio of the two figures is 1:3.

24 = 12

Write out the Proportion.

G = 32

24 = 1

Work out the exponents then cross multiply.

G = 9

216 ft2 = 1ft 2

Surface Area of G = 216 ft2

Example 3
• Find the volume of Figure G when the volume of Figure F = 7 ft3 and the ration of the two figures is 1:3.

7 = 13

Write out the proportion.

G = 33

Work out the exponents then cross multiply.

7 = 1

G = 27

189 ft3 = Volume of G

The Volume of G = 189 ft3

Example 4
• Find the Scale factor of the two cubes.

V = 512 m3

V = 1728 m3

a3 = 5123

Write out the ratio of the volumes.

b3 = 17283

a = 8

Cube root the numbers.

b = 12

2

Simplify. Once simplified, the final answer will be the scale factor.

3

Assignment
• p. 769, #4-27 all