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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