11 1 Space Figures and Cross Sections Polyhedron

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11 -1 Space Figures and Cross Sections

11 -1 Space Figures and Cross Sections

Polyhedron: a space figure, or three-dimensional figure, whose surfaces are polygons Edge Face: the

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

Problem 1: Identifying Vertices, Edges, and Faces How many vertices, edges, and faces are

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

Euler’s Formula •

Euler’s Formula •

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

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

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

Problem 4: Describing a Cross Section: the intersection of a solid and a plane

Problem 4: Describing a 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

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

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

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

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