Download Right prism

Section: 10-1
Name:
Topic: Space Figures &
Class: Geometry 1B
Nets
Period:
Standard:
Date:
Space Figures
Nets
Solids that take up _________________.
A 2-dimensional pattern that you can ____________ to form a
________________.
Examples
On grid paper create a net for a…
Rectangular Prism
Polyhedron
Rectangular Pyramid
A 3-dimensional figure whose surfaces (_________) are
___________________.
Face
Edge
Vertex
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Types of Polyhedron
Tetrahedron: _____ faces (all ___________)
Hexahedron: _____ faces
Octahedron: _____ faces
Regular Polyhedron
Names of Prisms or
Pyramids
Name
All faces are regular polygons

Name a prism or pyramid by the shape of its ___________.
Base
Prism
Pyramid
Euler’s Formula
Summary/Reflection: A polyhedron has 3 rectangular faces and 2 triangular faces.
A. What is the name of this polyhedron?
B. Sketch it.
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Section:
10-3
Name:
Topic: Surface Areas of
Class: Geometry 1B
Prisms and Cylinders
Period:
Standard:
Date:
A prism is a polyhedron with _______________
_______________________________________
Other faces are _______________________.
You name a prism by the shape of its _________. (Note: a prism can be positioned lateral
face down).
An altitude of a prism is a _____________________ that joins the planes of the bases.
The height of the prism is the length of an ____________.
Shade one of the bases.
Highlight the height.
Name the prism.
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Right prism
Oblique prism
The lateral faces of a right prism will always be _________________.
The lateral area ( _____ ) is the sum of the __________________________.
The surface area ( ____ ) is the sum of the areas of ______ the faces. The surface area can
also be thought of as the sum of the ________________ and the areas of the
________________.
Draw the net for the figure below. Write the area of each face inside the polygon.
4 cm
5 cm
12 cm
What is the lateral area?
LA = ________ + __________ + ____________ =
What is the surface area?
SA = ________ + __________ + ____________ =
(LA)
(Base)
(Base)
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The formula for the lateral area of any right prism is:
The formula for the surface area of any right prism is:
Use the formulas to find the lateral area and surface area of the following figures.
1. A square based prism.
6 in.
6 in.
15 in.
2. A hexagonal prism with a side length of 18 cm and a height of 25 cm.
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A cylinder has two congruent parallel bases. The bases of a
cylinder are ________________.
An altitude of a cylinder is a perpendicular segment that
joins the ______________________.
The ___________ of a cylinder is the length of an altitude.
Right Cylinder
Oblique Cylinder
The net of a cylinder is seen below. Given the radius of the circle, how could you find the
length of P?
Formulas:
Lateral Area:
Surface Area:
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Find the lateral area and surface area. Leave your answers in terms of pi.
1. A cylinder with a radius of 5 inches and a height of 17 inches.
2. A cylinder with a height of 4 cm and the area of the Base is 36 cm 2
Summary/Reflection: The word “base” is used in the formula for the surface area of a prism and
the formula for the area of a triangle. Does the word “base” mean the same thing in each
formula?
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Section:
10-4
Name:
Topic: Surface Areas of
Class: Geometry 1B
Pyramids and Cones
Period:
Standard: 9
Date:
Pyramid
A polyhedron in which one face _________ can be any
polygon and the other faces _____________ are triangles.
Vertex of Pyramid
(apex)
All the lateral faces meet at a ________________(called the
apex of the pyramid).
Naming
You name a pyramid by the shape of the ___________.
___________ Pyramid
__________ Pyramid
Regular Pyramid
A pyramid whose base is a ______________ and whose
lateral faces are __________________________ .
Altitude of a Pyramid
The ___________ segment from the _______ to the _______.
The altitude is the _______________of the pyramid.
_______ is the altitude (height) of the pyramid.
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Slant height
The length of the altitude of a ________________ face.
Pyramid Nets
Draw two different nets for the pyramid above.
Formulas for regular
pyramids
Lateral Area (L.A.)
Surface Area (S.A.)
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Example
Find the lateral area and surface area:
If the slant height had not been given, how could we have
found it?
What if the pyramid is
not “regular?”
If the base is not a regular polygon, the lateral faces are not
congruent isosceles triangles.
Find the lateral area and surface area if the base is a 12 cm by
30 cm rectangle and the height of the pyramid is 8 cm.
10
Cone
A solid with a ___________ for a base and “curved” lateral
face
Slant height
Height
Radius
Formulas
Lateral Area =
Surface Area =
Example
Summary/Reflection:
___________________________________________
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Section: 10-7
Name:
Topic: Surface Area and
Class: Geometry 1B
Volume of Spheres
Period:
Standard: 9
Date:
Sphere
center  A sphere is the set of _________ points in space _________
__________________ from a given point called the __________.
radius  The radius is a segment with one endpoint at the ___________
and the other on the __________________.
diameter  The diameter is a segment with _____________ endpoints on
the sphere. It goes through the _____________________.
circumference  The circumference is the __________________ length around
the sphere.
hemisphere  A hemisphere is _____________ of a sphere.
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Surface Area
Example 1
SA = _________, r = ____________________________
A sphere has a radius of 6 cm. What is its Surface area?
SA =
Example 2 A sphere has a circumference of 20 in. What is the radius of the
sphere? What is the surface area of the sphere?
Summary/Reflection: If a sphere and a cylinder both have a radius of 6 cm and they also have
the same volume, what is the height of the cylinder?
___________________________________________________________________________
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