Bell Ringer Get out your notebook and prepare to take notes on
Chapter 8 What is the difference between two-dimensional and
three-dimensional?
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Measurement
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8.1 - Solids (Page 354) Essential Question: How do we identify
solids, parts of solids, and skew lines?
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8.1 cont. Solids: DO NOT lie in a plane Have length, width, and
height Common Solids: 1. Prism 2. Pyramid 3. Cylinder 4. Cone 5.
Polyhedron 6. Sphere
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8.1 cont. Prism: Two parallel bases that are congruent polygons
Lateral faces are parallelograms Named by the shape of its bases
^^PENTAGONAL PRISM^^
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8.1 cont. Pyramid: Exactly 1 polygonal base Lateral faces are
triangles Named by the shape of its base ^^SQUARE PYRAMID^^
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8.1 cont. Cylinder: Two circular bases that are parallel
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8.1 cont. Cone: Exactly one circular base and one vertex
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8.1 cont. Polyhedron: Faces are all polygons Of the solids weve
studied, ONLY prisms and pyramids are polyhedrons
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8.1 cont.
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Skew Lines: Lines that do not intersect Are not parallel Unlike
parallel or intersecting lines, they DO NOT lie in the same
plane
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8.1 cont. Example 3: Name a pair of skew line segments and a
pair of parallel line segments in the figure below:
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8.1 - Closure How do we identify solids, parts of solids, and
skew lines? Solids: Length, width, height Parts of Solids: Bases,
edges, faces Skew Lines: Do not intersect, and are not
parallel
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8.1 - Homework Page 356-357, 2-18 even
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Bell Ringer Get out your 8.1 homework assignment Get out your
notebook and prepare to take notes on Section 8.3 Name a pair of
skew line segments, a pair of parallel line segments, describe the
base, and name the following figure:
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8.3 Nets and Three-Dimensional Figures (Page 364) Essential
Question: How can we turn two-dimensional figures into
three-dimensional figures?
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8.3 cont. Net: A pattern that can be folded to form a solid A
net of a figure shows all the surfaces of that figure in one
view
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8.3 cont.
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Instructions: 1.Cut out your net 2.Fold along edges 3.Tape
sides together to form a solid 4.Describe the base and name the
figure
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8.3 - Closure How can we turn two-dimensional figures into
three- dimensional figures? USE NETS!!
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8.3 - Homework Page 365-366, 1-9
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Bell Ringer Get out your 8.3 homework assignment Get out your
notebook and prepare to take notes on Section 8.4 Identify the
solid that the following net forms: CONE
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8.4 Surface Areas of Prisms and Cylinders (Page 368) Essential
Question: How do we find the surface area of a prism and a
cylinder?
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8.4 cont. Surface Area Total area of its net Sum of the area of
the surfaces of a solid
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8.4 cont. Example 1: Use a net to find the surface area of the
following prism: STEPS: 1.Draw a net of the prism 2.Find the area
of each rectangle in the net 3.Add the areas to find the surface
area
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8.4 cont. Lateral Area: Lateral = on the side Sum of the areas
of the lateral surfaces of a solid
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8.4 cont. Surface Area of a Prism:
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8.4 cont. Example 2: Find the surface area of the following
prism:
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8.4 cont. Surface Area of a Cylinder:
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8.4 cont. Example 2: Find the surface area of the following
cylinder:
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8.4 - Closure How we you find the surface area of a prism and a
cylinder? Find the lateral area and add it to the area of the
bases
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8.4 - Homework Page 371-372, 2-20 even, SKIP 14
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Bell Ringer Get out your 8.4 homework assignment Get out your
notebook and prepare to take notes on Section 8.5 Use a net to find
the surface area of the given prism:
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8.5 Surface Areas of Pyramids and Cones (Page 374) Essential
Question: How do we find the surface area of a pyramid and a
cone?
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8.5 cont. Slant Height: Height of a pyramids lateral faces
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8.5 cont. Finding Surface Area Using Nets (PYRAMID): Example 1:
Find the surface area of the following square pyramid:
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8.5 cont. Lateral Area and Surface Area of a Pyramid:
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8.5 cont. Finding Surface Area Using a Formula (PYRAMID):
Example 2: Find the surface area of the following square
pyramid:
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8.5 cont. Surface Area of a Cone: Curved surface of a cone is
its lateral surface
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8.5 cont. Lateral Area and Surface Area of a Pyramid:
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8.5 cont. Finding Surface Area Using a Formula (CONE): Example
3: Find the surface area of the following cone:
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8.5 - Closure How do we find the surface area of a pyramid and
a cone? Find the lateral area and add it to the area of the
base
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8.5 - Homework Page 377-378, 6-14, 18-20
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Bell Ringer Get out your 8.4 homework assignment Get out your
notebook and prepare to take notes on Section 8.6 Use a net to find
the surface area of the given prism:
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8.6 Volumes of Prisms and Cylinders (Page 380) Essential
Question: How do we find the volume of prisms and cylinders?
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8.6 cont. Volume - Number of unit cubes needed to fill a solid
Volume of a Prism:
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8.6 cont. Example 1: Find the volume of the following
prism:
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8.6 cont. Example 1: Find the volume of the following
triangular prism:
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8.6 cont. Volume of a Cylinder:
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8.6 cont. Example 1: Find the volume of the following
cylinder:
