11.1 space figures & cross sections
DESCRIPTION
11.1 Space Figures & Cross Sections. polyhedron. a three-dimensional figure whose surfaces are polygons. Definititions. faces. edge. vertex. Euler’s Formula. The number of faces (F), vertices (V), and edges (E) of a polyhedron three-dimensional are related by the formula. Formula. - PowerPoint PPT PresentationTRANSCRIPT
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polyhedron
a three-dimensional figure
whose surfaces are polygons
faces
edge
vertex
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Euler’s Formula
The number of faces (F), vertices (V), and
edges (E) of a polyhedron three-dimensional are
related by the formula
F + V = E + 2
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Example
A polyhedron has 8 faces and 18 edges. How many vertices
does this polyhedron have ?
F + V = E + 28 + V = 18 + 28 + V = 20-8 -8
V = 12
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Euler’s Formula
The number of faces (F), vertices (V), and
edges (E) of a polyhedron in two-
dimensional are related by the formula
F + V = E + 1
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How many regions, vertices and
segments are on the following polyhedron in 2-dimension space
?
regions
1
2
3
4
5
6
7
8 8
segments
1
2
3
4
5
6
7
8
9
10 11
12
13
14
15
16
17
18
19 20
21 22 23
24
25 26
2728 29
29
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How many regions, vertices and
segments are on the following polyhedron in 2-dimension space
?
regions 8 segments
1
2
3
4
5 6
7
8
9
10 11
12
13
14
15
16 17
18
19
20 21 22
22
29
vertices
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Cross sections
Slicing the polyhedron with a plane and examining the resulting figure.
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AssignmentWorkbook
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