solids: three – dimensional figures. cues what are three-dimensional figures features polyhedron...

Solids: Three –Dimensional

figures

Cues

• What are three-dimensional figures

• Features

• Polyhedron

• Types of 3-D Figures

• Other Figures

What are three-dimensional figures?

• A three-dimensional figure encloses a part of space.

• In other words it can hold something (water, air, etc.)

Features of a 3-D figure

Faces

EdgeVertex

•Edge- formed by two faces of a 3-D figure sharing a side

•Vertex (plural:vertices)- the point at which three or more edges meet

•Face- the flat surface of a figure

Identify the number of faces, edges, and vertices on each three-dimensional figure.

A.

B.

5 faces

8 edges

5 vertices

7 faces

15 edges

10 vertices

Faces + Vertices -2 = Edges

Identify the number of faces, edges, and vertices on each three-dimensional figure.

A.

B.

6 faces

12 edges

8 vertices

5 faces

9 edges

6 vertices

Polyhedron

A 3-dimensional figure that has polygons as faces

Polygons must have straight lines!

Polyhedrons Not Polyhedrons

Two main types of 3-D Figures

• Prism:– Has at least three faces

that are rectangles

– Has two congruent faces on the top and bottom called bases

– The shape of the base tells what type of prism the figure is

• Pyramid:– Has at least three

faces that are triangles

– Has only one base

– The shape of the base tells what type of pyramid the figure is

Prisms

Rectangular Prism

Pentagonal Prism

Pyramids

Square Pyramid

Triangular Pyramid

Other 3-D Figures

• Cone- is a figure like a pyramid, but has a circular base and a curved surface

Other 3-D Figures

• Cylinder- a curved figure with two circular bases

Other 3-D Figures

• Sphere- a 3-D figure with no faces, bases, edges, or vertices

Let’s PlayName that Figure!

Cylinder

Triangular Prism

Cube

Square Pyramid

Okay…this last one is hard…Ready??

Pentagonal Pyramid

Assignment

• Pg 562 – Problems 1-24