11-1 Space Figures and Cross Sections

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Space Figures and Cross Sections

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Presentation transcript:

11-1 Space Figures and Cross Sections

Polyhedron: a space figure, or three-dimensional figure, whose surfaces are polygons Face: the flat surface of a figure Edge: Formed by the intersection of two faces Vertex: the point where three or more edges intersect Vertex Edge Faces

Problem 1: Identifying Vertices, Edges, and Faces How many vertices, edges, and faces are in the polyhedron? List them.

Euler’s Formula 𝐹+𝑉=𝐸+2 F=faces V=vertices E=Edges

Problem 2: Using Euler’s Formula For each polyhedron, use Euler’s Formula to find the missing number

For each polyhedron, use Euler’s Formula to find the missing number

Problem 4: Describing a Cross Section Cross Section: the intersection of a solid and a plane (a thin slice of the solid) What is the cross section formed by the plane and the solid below?

What is the cross section formed by a horizontal plane What is the cross section formed by a horizontal plane? What is the cross section formed by a vertical plane?

Problem 5: Drawing a Cross Section Draw a cross section formed by a vertical plane intersecting the front face and right face of the cube. What shape is the cross section?

Draw a cross section formed by a horizontal plane intersecting left and right faces of the cube. What shape is the cross section?