3-dimensional solids return to table of contents
TRANSCRIPT
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3-Dimensional Solids
Return to table of contents
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The following link will take you to a site with interactive 3-D figures and nets.
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Polyhedron A 3-D figure whose faces are all polygons
Polyhedron Not Polyhedron
Sort the figures into the appropriate side.
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3-Dimensional Solids
Categories & Characteristics of 3-D Solids:
Prisms1.Have 2 congruent, polygon bases which are parallel to one another2. Sides are rectangular (parallelograms)3. Named by the shape of their base
Pyramids1. Have 1 polygon base with a vertex opposite it2. Sides are triangular3. Named by the shape of their base
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3-Dimensional Solids
Categories & Characteristics of 3-D Solids:
Cylinders1.Have 2 congruent, circular bases which are parallel to one another2. Sides are curved
Cones1. Have 1 circular bases with a vertex opposite it2. Sides are curved
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3-Dimensional Solids
Vocabulary Words for 3-D Solids:
Polyhedron A 3-D figure whose faces are all polygons (Prisms & Pyramids)
Face Flat surface of a Polyhedron
Edge Line segment formed where 2 faces meet
Vertex (Vertices) Point where 3 or more faces/edges meet
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Sort the figures.If you are incorrect, the figure will be sent back.
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1 Name the figure.
A Rectangular Prism
BC Hexagonal Prism D Rectangular PyramidE Cylinder F Cone
Triangular Pyramid
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2 Name the figure
A Rectangular Pyramid B Triangular Prism C Octagonal Prism D Circular Pyramid E Cylinder F Cone
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3 Name the figure
A Rectangular Pyramid
B Triangular Pyramid
C Triangular Prism D Hexagonal Pyramid E Cylinder F Cone
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4 Name the figure
A Rectangular Prism B Triangular Prism C Square Prism D Rectangular Pyramid E Cylinder F Cone
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5 Name the figure
A Rectangular Prism B Triangular Pyramid C Circular Prism
D Circular Pyramid
E Cylinder
F Cone
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For each figure, find the number of faces, vertices and edges.
Can you figure out a relationship between the number of faces, vertices and edges of 3-Dimensional Figures?
Name Faces Vertices Edges
Cube 6 8 12
Rectangular Prism
6 8 12
Triangular Prism
5 6 9
Triangular Pyramid
4 4 6
Square Pyramid
5 5 8
Pentagonal Pyramid
6 6 10
Octagonal Prism
10 16 24
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Euler's Formula
F + V - 2 = E
The number of edges is 2 less than the sum of the faces and vertices.
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6 How many faces does a pentagonal prism have?
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7 How many edges does a rectangular pyramid have?
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8 How many vertices does a triangular prism have?