Solid Figures
March 17, 2014
• How can we describe solids using
faces, sides, vertices, and edges?
1
Solid Figures
March 17, 2014
Solid figures can be described in three
ways.
edges
faces
What are edges?
What are faces?
vertices
What are vertices?
Vertices are where two edges meet. Faces are the flat part of a shape
Edges are where two faces meet
One is called a vertex.
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Solid Figures
March 17, 2014
A prism is a polyhedron that has two
congruent polygons as bases.
bases
examples of
prisms
All other faces of a prism are rectangles. Prisms are
named by the polygons that form their bases.
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Solid Figures
March 17, 2014
A pyramid is a polyhedron with only one base. All
other faces are triangles that meet at the same vertex.
base
pentagonal pyramid
square pyramid
triangular pyramid
example
How many faces does
each pyramid have?
vertices?
edges?
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Solid Figures
March 17, 2014
Solids with curved surfaces are not polyhedrons.
spheres
a sphere has no bases
and 1 curved surface
cone
a cone has 1 flat circular base
and 1 curved surface
cylinder
a cylider has 2 flat circular bases
and 1 curved surface
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Solid Figures
March 17, 2014
1. Name the shape
2. Move the magnifyer over the
shape to check your answer
rectangular
prism
cone
cylinder
sphere
cube
pyramid
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Solid Figures
March 17, 2014
How many faces, edges, and vertices?
shape faces
vertices edges
12
1
2
3
0
5
6
8
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Solid Figures
March 17, 2014
Classify the polyhedron. Then, name all vertices,
edges, and faces. K
L
F
G
J
E
M
H
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Solid Figures
March 17, 2014
Classify the polyhedron
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Solid Figures
March 17, 2014
How do you find the area of a
rectangle or square?
Click
to xcheck
length
width
Find the area of these problems
and touch the shape to check.
9 cm
3 cm
2
3 cm
60 in 2
5 in
12 in
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Solid Figures
March 17, 2014
Surface Area
3 m
5 m
6 m
SA = 2lw + 2lh + 2wh
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Solid Figures
March 17, 2014
Surface Area
2 m
4 m
7 m
SA = 2lw + 2lh + 2wh
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Solid Figures
March 17, 2014
13
Solid Figures
March 17, 2014
SA = 6s2
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Solid Figures
March 17, 2014
What if you wanted to find the area
of a triangle?
(Touch
above
triangle)
P
U
L
L
A triangle is half a rectangle or square
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Solid Figures
March 17, 2014
Surface Area:
Triangular Prism
b
c
h
w
a
SA = ah + aw + bw + cw
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Solid Figures
March 17, 2014
Surface Area:
Triangular Prism
b = 6
c = 5
h = 3
w = 8
a = 4
SA = ah + aw + bw + cw
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