Surface Area and Volume of Similar Figures Section 12.7.

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Presentation transcript:

Surface Area and Volume of Similar Figures Section 12.7

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

Tell whether each figure below is a polyhedron.

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

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

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 a 2 : b 2 and corresponding volumes have a ratio of a 3 : b 3.

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.

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

Practice O p.850: 3-7, 12-15