Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each...

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Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment that is formed by the intersection of two faces. A vertex is a point where three or more edges intersect. A net is a two-dimensional pattern that you can fold to form a three-dimensional figure. One of the simplest such figures is a cube

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Transcript of Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each...

Page 1: Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.

Vocabulary

A polyhedron is a three-dimensional solid with flat surfaces and straight edges.

Each polygon is a face of the polyhedron.

An edge is a segment that is formed by the intersection of two faces.

A vertex is a point where three or more edges intersect.

A net is a two-dimensional pattern that you can fold to form a three-dimensional figure.

One of the simplest such figures is a cube — a polyhedron with six faces, each of which is a square.

Page 2: Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.

Vocabulary Prisms: polyhedron with 2 congruent and parallel faces

called bases.

Pyramid: polyhedron in which 1 face is a polygon and the others are triangles…comes to a point at the top.

Cylinder: 3D figure with 2 congruent & parallel bases that are circles

Cone: has 1 circular base and comes to a point at top

Page 3: Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.

Vocabulary

Cross Section:

The intersection of a solid and a plane. The result is a polygon.

Page 4: Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.

Identifying a Net

Page 5: Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.

Identifying a Net

Page 6: Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.

Identifying a Net

Page 7: Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.

Cross Sections

A cross section is the shape formed when a plane intersects a 3D figure.

Think of a very thin slice of the solid.

The bases are opposite faces that are parallel and congruent.

To describe the relationship between the plane and the solid, it will be either: Parallel to the base or Perpendicular to the base

Cross-Sections can be polygons and circles Tell the shape it makes when you cut the solid

Page 8: Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.

Parallel and Perpendicular Cross Sections

Page 9: Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.

A plane slices through the cylinder below, parallel to the base. What is the resulting cross-section?

Page 10: Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.

A plane slices through the rectangular prism below, parallel to the base. What is the resulting cross-section?

Page 11: Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.

A plane slices through a cone and the resulting cross section is a triangle. Describe the relationship between the plane and the cone.

Page 12: Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.

Given a cone with a height of 6 m and a radius of 4 m, what is the area of the cross-section if a plane slices the cone perpendicular to the base, through the center?

6m

4m

Page 13: Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.

Find the area of the shaded cross-section of the triangular prism

Page 14: Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.

A plane intersects a sphere going through the center of the sphere. The radius of the sphere is 5 inches. What is the area of the cross-section, to the nearest tenth?


Polyhedron 044

Polyhedron 044

HP of Yutaka Nishiyamayutaka-nishiyama.sakura.ne.jp/keidai/keidaironshu_059...gon, the polyhedron itself is described as regular. When there are two or more types of regular polygon,

HP of Yutaka Nishiyamayutaka-nishiyama.sakura.ne.jp/keidai/keidaironshu_059...gon, the polyhedron itself is described as regular. When there are two or more types of regular polygon,

Section 10.1. A solid formed by polygons enclosing a region is called a polyhedron. The flat surface (or polygon) are called a face. The segment.

Section 10.1. A solid formed by polygons enclosing a region is called a polyhedron. The flat surface (or polygon) are called a face. The segment.

11.3 Surface Areas of Pyramids and Cones A pyramid is a polyhedron in which one face (the base) can be any polygon and the other faces (the lateral faces)

11.3 Surface Areas of Pyramids and Cones A pyramid is a polyhedron in which one face (the base) can be any polygon and the other faces (the lateral faces)

Parts of a Polyhedron Remember: A polyhedron is a 3D figure made up of polygons.

Parts of a Polyhedron Remember: A polyhedron is a 3D figure made up of polygons.

Polyhedron #004

Polyhedron #004

The Triangle Closure is a Polyhedron

The Triangle Closure is a Polyhedron

polyhedron 002

polyhedron 002

polyhedron 001

polyhedron 001

Twirl Kusudama a tool for polyhedra understanding · 2018. 2. 22. · used for a polygon (face of a polyhedron) should be the same lenght. • Regular polyhedra are inscribed into

Twirl Kusudama a tool for polyhedra understanding · 2018. 2. 22. · used for a polygon (face of a polyhedron) should be the same lenght. • Regular polyhedra are inscribed into

Lecture 5: Casting a polyhedron

Lecture 5: Casting a polyhedron

Objectives: - Define polygon, reflectional symmetry, rotational symmetry, regular polygon, center of a regular polygon, central angle of a regular polygon,

Objectives: - Define polygon, reflectional symmetry, rotational symmetry, regular polygon, center of a regular polygon, central angle of a regular polygon,

Geometry: Part 2 3-D figures. Polyhedron ► 3-dimensional analog of a polygon ► Closed surface made up of polygons ► Any 2 polygons may have only one shared.

Geometry: Part 2 3-D figures. Polyhedron ► 3-dimensional analog of a polygon ► Closed surface made up of polygons ► Any 2 polygons may have only one shared.

Polyhedron #108

Polyhedron #108

River Rats - A Polyhedron Greyhawk Adventure

River Rats - A Polyhedron Greyhawk Adventure

Polyhedron 011

Polyhedron 011

Polyhedron #003

Polyhedron #003

Subject: Research topic - Jackson Library · A regular polyhedron is a solid three-dimensional figure, which each face is a regular polygon with the same number of sides, same perimeter

Subject: Research topic - Jackson Library · A regular polyhedron is a solid three-dimensional figure, which each face is a regular polygon with the same number of sides, same perimeter

11.1 Space Figures and Cross Sections A polyhedron is a space figure, or three-dimensional figure, whose surfaces are polygons. Each polygon is a face.

11.1 Space Figures and Cross Sections A polyhedron is a space figure, or three-dimensional figure, whose surfaces are polygons. Each polygon is a face.

polyhedron 076

polyhedron 076