Surface Area and Volume of Similar Figures Section 12.7.
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Transcript of Surface Area and Volume of Similar Figures Section 12.7.
![Page 1: Surface Area and Volume of Similar Figures Section 12.7.](https://reader036.fdocuments.us/reader036/viewer/2022082613/5697bfd41a28abf838cad0a5/html5/thumbnails/1.jpg)
Surface Area and Volume of Similar
FiguresSection 12.7
![Page 2: Surface Area and Volume of Similar Figures Section 12.7.](https://reader036.fdocuments.us/reader036/viewer/2022082613/5697bfd41a28abf838cad0a5/html5/thumbnails/2.jpg)
DefinitionO A polyhedron is a solid that is
bounded by polygons.
![Page 3: Surface Area and Volume of Similar Figures Section 12.7.](https://reader036.fdocuments.us/reader036/viewer/2022082613/5697bfd41a28abf838cad0a5/html5/thumbnails/3.jpg)
Tell whether each figure below is a polyhedron.
![Page 4: Surface Area and Volume of Similar Figures Section 12.7.](https://reader036.fdocuments.us/reader036/viewer/2022082613/5697bfd41a28abf838cad0a5/html5/thumbnails/4.jpg)
DefinitionO Two solids of the same type with
equal ratios of corresponding linear measures, such as heights or radii, are called similar solids.
![Page 5: Surface Area and Volume of Similar Figures Section 12.7.](https://reader036.fdocuments.us/reader036/viewer/2022082613/5697bfd41a28abf838cad0a5/html5/thumbnails/5.jpg)
Tell whether each given right rectangular prism is similar to
the right rectangular prism shown below.
![Page 6: Surface Area and Volume of Similar Figures Section 12.7.](https://reader036.fdocuments.us/reader036/viewer/2022082613/5697bfd41a28abf838cad0a5/html5/thumbnails/6.jpg)
Similar Solids Theorem
O If two similar solids have a scale factor of a : b, then corresponding areas (and surface areas) have a ratio of a2 : b2 and corresponding volumes have a ratio of a3 : b3.
![Page 7: Surface Area and Volume of Similar Figures Section 12.7.](https://reader036.fdocuments.us/reader036/viewer/2022082613/5697bfd41a28abf838cad0a5/html5/thumbnails/7.jpg)
The pyramids are similar. Pyramid P has a volume of 1000 cubic inches and Pyramid Q has a volume of 216 cubic inches. Find the
scales factor of Pyramid P to Pyramid Q.
![Page 8: Surface Area and Volume of Similar Figures Section 12.7.](https://reader036.fdocuments.us/reader036/viewer/2022082613/5697bfd41a28abf838cad0a5/html5/thumbnails/8.jpg)
Solid I is similar to Solid II. Find the scale factor of Solid
I to Solid II.
![Page 9: Surface Area and Volume of Similar Figures Section 12.7.](https://reader036.fdocuments.us/reader036/viewer/2022082613/5697bfd41a28abf838cad0a5/html5/thumbnails/9.jpg)
PracticeO p.850: 3-7, 12-15