solids: three –dimensional figures
DESCRIPTION
Solids: Three –Dimensional figures. EQ: How do you identify various three-dimensional 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.). What is a Polyhedron?. - PowerPoint PPT PresentationTRANSCRIPT
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Solids: Three –Dimensional
figuresEQ: How do you identify
various three-dimensional figures?
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What are three-dimensional figures?
• A three-dimensional figure encloses a part of space.
• In other words it can hold something (water, air, etc.)
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What is a Polyhedron?
A 3-dimensional figure that has polygons as faces
Polygons must have straight lines!
Polyhedrons Not Polyhedrons
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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
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Identify the number of faces, edges, and vertices on each three-dimensional figure.
A.
B.
5 faces8 edges5 vertices
7 faces15 edges10 vertices
Faces + Vertices -2 = Edges
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Identify the number of faces, edges, and vertices on each three-dimensional figure.
A.
B.
6 faces12 edges8 vertices
5 faces9 edges6 vertices
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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
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Prisms
Rectangular Prism
Pentagonal Prism
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Pyramids
Square Pyramid
Triangular Pyramid
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Other 3-D Figures
• Cone- is a figure like a pyramid, but has a circular base and a curved surface
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Other 3-D Figures
• Cylinder- a curved figure with two circular bases
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Other 3-D Figures
• Sphere- a 3-D figure with no faces, bases, edges, or vertices
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Cylinder
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Triangular Prism
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Cube
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Square Pyramid
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Okay…this last one is hard…Ready??
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Pentagonal Pyramid
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What is a net?
A net is a two-dimensional (flat) representation of a three-dimensional object. A net would be what your cereal box becomes when you slice down a few sides.
Identify what shape will be made from the following nets.1. 2.
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ANSWERS
A net is a two-dimensional (flat) representation of a three-dimensional object. A net would be what your cereal box becomes when you slice down a few sides.
Identify what shape will be made from the following nets.1. Triangular Pyramid 2. Cube
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NetsIdentify what shape will be made from
the following nets. A net is a two-dimensional (flat) representation of a
three-dimensional object. A net would be what your cereal box becomes when you slice down a few sides.
Identify what shape will be made from the following nets.
1. 2. 3. 4.
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ANSWERS
A net is a two-dimensional (flat) representation of a three-dimensional object. A net would be what your cereal box becomes when you slice down a few sides.
Identify what shape will be made from the following nets.
1. 2. 3. 3. 4.
cylinder square pyramid cone triangular prism
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Identify what shape will be made from the following nets.
1. 2. 3.
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Identify what shape will be made from the following nets.
1. 2. 3. rectangular prism cylinder triangular prism
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Cube or Not?
http://illuminations.nctm.org/Activity.aspx?id=3544
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Summary
How are 3D shapes classified?
What is a net?