14-1 Three-Dimensional Figures and Cross Sections

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Presentation transcript:

14-1 Three-Dimensional Figures and Cross Sections Objectives: Recognize a polyhedron and name its parts; describe and draw cross sections of space figures. Polyhedrons Some Three-Dimensional Figures You can classify a solid by the shape(s) of its surfaces.

14-1 Three-Dimensional Figures and Cross Sections Euler’s Formula F + V = E + 2 The sum of the number of faces (F) and vertices (V) of a polyhedron is two more than the number of its edges (E). In two dimensions, Euler’s Formula reduces to F + V = E + 1, where F is the number of regions formed by V vertices linked by E segments. 1.

14-1 Three-Dimensional Figures and Cross Sections 4. 2. 3. Match each net below with a Platonic solid. 5.

14-1 Three-Dimensional Figures and Cross Sections Objectives: Recognize a polyhedron and name its parts; describe and draw cross sections of space figures.

14-1 Three-Dimensional Figures and Cross Sections

14-2 Surface Areas of Prisms and Cylinders

14-2 Surface Areas of Prisms and Cylinders

14-2 Surface Areas of Prisms and Cylinders Lateral and Total Surface Areas of a Prism Lateral and Total Surface Areas of a Cylinder

14-2 Surface Areas of Prisms and Cylinders

14-2 Surface Areas of Prisms and Cylinders