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Surface Area and Volume of Similar Figures

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Presentation on theme: "Surface Area and Volume of Similar Figures"— Presentation transcript:

1 Surface Area and Volume of Similar Figures

2 Definition A polyhedron is a solid that is bounded by polygons.

3 Tell whether each figure below is a polyhedron.

4 Definition Two solids of the same type with equal ratios of corresponding linear measures, such as heights or radii, are called similar solids.

5 Tell whether each given right rectangular prism is similar to the right rectangular prism shown below.

6 Similar Solids Theorem
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.

7 The pyramids are similar
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.

8 Solid I is similar to Solid II
Solid I is similar to Solid II. Find the scale factor of Solid I to Solid II.

9 Assignment pg. 850 #3-23 all


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