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10-1 Introduction to 3D figs. Learn to identify various three-dimensional figures. Vocabulary. prism pyramid cylinder cone. face edge polyhedron vertex base.

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Learn to identify various three-dimensional figures.


Vocabulary

prism

pyramid

cylinder

cone

face

edge

polyhedron

vertex

base


Three-dimensional figures, or solids, have length, width, and height. A flat surface of a solid is a face. An edgeis where two faces meet.

A polyhedron is a three-dimensional figure whose faces are all polygons. A vertex of a polyhedron is a point where three or more edges meet. The face that is used to name a polyhedron is called a base.

A prism has two bases, and a pyramid has one.


Prisms and height. A flat surface of a solid is a

A prism is a polyhedron that has two parallel, congruent bases. The bases can be any polygon. The other faces are parallelograms.


Pyramids and height. A flat surface of a solid is a

A pyramid is a polyhedron that has one base. The base can be any polygon. The other faces are triangles.


Additional Example 1A: Naming Prisms and Pyramids and height. A flat surface of a solid is a

Identify the bases and faces of the figure. Then name the figure.

There are two octagonal bases.

There are eight rectangular faces.

The figure is an octagonal prism.


Additional Example 1B: Naming Prisms and Pyramids and height. A flat surface of a solid is a

Identify the bases and faces of the figure. Then name the figure.

There is one base, and it is a pentagon.

There are five triangular faces.

The figure is a pentagonal pyramid.


Additional Example 1C: Naming Prisms and Pyramids and height. A flat surface of a solid is a

Identify the bases and faces of the figure. Then name the figure.

There is one base, and it is a triangle.

There are three triangular faces.

The figure is a triangular pyramid.


Additional Example 1D: Naming Prisms and Pyramids and height. A flat surface of a solid is a

Identify the bases and faces of the figure. Then name the figure.

There are two bases, and they are both hexagons.

There are six rectangular faces.

The figure is a hexagonal prism.


Check It Out: Example 1A and height. A flat surface of a solid is a

Identify the bases and faces of the figure. Then name the figure.

There are two bases and they are both triangles.

There are three rectangular faces.

The figure is a triangular prism.


Check It Out: Example 1B and height. A flat surface of a solid is a

Identify the bases and faces of the figure. Then name the figure.

All faces and bases are congruent squares.

The figure is a cube.


Other three-dimensional figures include and height. A flat surface of a solid is a cylinders and cones. These figures are not polyhedrons because they are not made of faces that are all polygons.



Additional Example 2A: Classifying Three-Dimensional Figures figures.

Classify each figure as a polyhedron or not a polyhedron. Then name the figure.

The faces are all polygons, so the figure is a polyhedron.

There is one rectangular base for each figure.

The figure is made up of a rectangular pyramid and a rectangular prism.


Additional Example 2B: Classifying Three-Dimensional Figures figures.

Classify each figure as a polyhedron or not a polyhedron. Then name the figure.

The faces are not all polygons, so the figure is not a polyhedron.

There is one circular base.

The figure is a cone.


Additional Example 2C: Classifying Three-Dimensional Figures figures.

Classify each figure as a polyhedron or not a polyhedron. Then name the figure.

The faces are not all polygons, so the figure is not a polyhedron.

There are two circular base.

The figure is a cylinder.


Check It Out: Example 2A figures.

Classify each figure as a polyhedron or not a polyhedron. Then name the figure.

The faces are not all polygons, so the figure is not a polyhedron.

There is one circular base for the top figure and two circular bases for the bottom figure.

The figure is made up of a cylinder and a cone.


Check It Out: Example 2B figures.

Classify each figure as a polyhedron or not a polyhedron. Then name the figure.

The faces are all polygons, so the figure is a polyhedron.

There are two triangular bases for the figure.

The figure is a triangular prism.


Check It Out: Example 2C figures.

Classify each figure as a polyhedron or not a polyhedron. Then name the figure.

The faces are all polygons, so the figure is a polyhedron.

There is one rectangular base for the figure.

The figure is a rectangular pyramid.


Lesson Quiz: Part I figures.

Identify the bases and faces of each figure. Then name each figure.

1.

One square base, 4 triangular faces; square pyramid

2.

Two pentagon bases, 5 rectangular faces; pentagonal prism


Lesson Quiz: Part II figures.

Classify each figure as a polyhedron or not a polyhedron. Then name the figure.

3.

polyhedron, rectangular prism

polyhedron, triangular prism

4.


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