12.7 Similar Solids. Definitions of Similar Solids Similar Solids have congruent angles and linear...
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Transcript of 12.7 Similar Solids. Definitions of Similar Solids Similar Solids have congruent angles and linear...
![Page 1: 12.7 Similar Solids. Definitions of Similar Solids Similar Solids have congruent angles and linear measure in the same ratios. Scale factor 9 : 3 Perimeter.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e545503460f94b4aa07/html5/thumbnails/1.jpg)
12.7 Similar Solids
![Page 2: 12.7 Similar Solids. Definitions of Similar Solids Similar Solids have congruent angles and linear measure in the same ratios. Scale factor 9 : 3 Perimeter.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e545503460f94b4aa07/html5/thumbnails/2.jpg)
Definitions of Similar Solids
Similar Solids have congruent angles and linear measure in the same ratios.
99
9
33
3
Scale factor 9 : 3Perimeter of the base is 9(4) and 3(4)
Ratio of the Bases 36 : 12Same as the Scale Factor 9:3
![Page 3: 12.7 Similar Solids. Definitions of Similar Solids Similar Solids have congruent angles and linear measure in the same ratios. Scale factor 9 : 3 Perimeter.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e545503460f94b4aa07/html5/thumbnails/3.jpg)
Definitions of Similar Solids
If the Scale Factor is 9:3,
Then the S.A. ratio is 92:32 or 81:9
99
9
33
3
Scale factor 9 : 3Perimeter of the base is 9(4) and 3(4)
Ratio of the Bases 36 : 12Same as the Scale Factor 9:3
![Page 4: 12.7 Similar Solids. Definitions of Similar Solids Similar Solids have congruent angles and linear measure in the same ratios. Scale factor 9 : 3 Perimeter.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e545503460f94b4aa07/html5/thumbnails/4.jpg)
Definitions of Similar Solids
If the Scale Factor is 9:3,
Then the Volume ratio is 93:33 or 729:27
99
9
33
3
Scale factor 9 : 3Perimeter of the base is 9(4) and 3(4)
Ratio of the Bases 36 : 12Same as the Scale Factor 9:3
![Page 5: 12.7 Similar Solids. Definitions of Similar Solids Similar Solids have congruent angles and linear measure in the same ratios. Scale factor 9 : 3 Perimeter.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e545503460f94b4aa07/html5/thumbnails/5.jpg)
How to remember the ratios
If the Scale Factor is a : b
the Perimeter ratio is a :b, since it in one dimension
the Surface Area ratio is a2:b22,, since it in two dimensions.
The Volume ratio is a3:b3, since it in three dimensions.
![Page 6: 12.7 Similar Solids. Definitions of Similar Solids Similar Solids have congruent angles and linear measure in the same ratios. Scale factor 9 : 3 Perimeter.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e545503460f94b4aa07/html5/thumbnails/6.jpg)
Two rectangular prisms are similar
The Scale Factor of the Prisms (A:B) are to
1:4
If the Surface Area of Prisms A is 28m2 and its Volume is 8m3
Find the Surface Area and Volume
of Prisms B
![Page 7: 12.7 Similar Solids. Definitions of Similar Solids Similar Solids have congruent angles and linear measure in the same ratios. Scale factor 9 : 3 Perimeter.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e545503460f94b4aa07/html5/thumbnails/7.jpg)
Two rectangular prisms are similar
The Scale Factor of the Prisms (A:B) are to
1:4
If the Surface Area of Prisms A is 28m2 and its Volume is 8m3
Find the Surface Area and Volume
of Prisms B
64
1
16
1
4
1RatioVolumeandRatioAreafactorScale
![Page 8: 12.7 Similar Solids. Definitions of Similar Solids Similar Solids have congruent angles and linear measure in the same ratios. Scale factor 9 : 3 Perimeter.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e545503460f94b4aa07/html5/thumbnails/8.jpg)
Two rectangular prisms are similar
If the Surface Area of Prisms A is 28m2 and its Volume is 8m3
64
1
16
1
4
1RatioVolumeandRatioAreafactorScale
2448..448
1162816
128
..
..
mBofASx
xxBofAS
AofAS
![Page 9: 12.7 Similar Solids. Definitions of Similar Solids Similar Solids have congruent angles and linear measure in the same ratios. Scale factor 9 : 3 Perimeter.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e545503460f94b4aa07/html5/thumbnails/9.jpg)
Two rectangular prisms are similar
If the Surface Area of Prisms A is 28m2 and its Volume is 8m3
64
1
16
1
4
1RatioVolumeandRatioAreafactorScale
3512.512
164864
18
mBofVx
xxBofV
AofV
![Page 10: 12.7 Similar Solids. Definitions of Similar Solids Similar Solids have congruent angles and linear measure in the same ratios. Scale factor 9 : 3 Perimeter.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e545503460f94b4aa07/html5/thumbnails/10.jpg)
Two similar cubes have volumes 64in3 and 1000in3
Find the scale factor
5
2
10
4
1000
64
1000
643
3
![Page 11: 12.7 Similar Solids. Definitions of Similar Solids Similar Solids have congruent angles and linear measure in the same ratios. Scale factor 9 : 3 Perimeter.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e545503460f94b4aa07/html5/thumbnails/11.jpg)
Homework
Page 769 – 771
# 10 – 24, 28, 29