U8 L7 Surface Area Lesson.notebook - Schoolwires · U8 L7 Surface Area Lesson.notebook 4 (Not...
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U8 L7 Surface Area Lesson.notebook 1 3 in 3 in 8 in 6 π Find the composite area of the figure. DO NOW! U8 L7 Surface Area Surface Area Formulas In general, the surface area is the sum of all the areas of all the shapes that cover the surface of the object.
Transcript of U8 L7 Surface Area Lesson.notebook - Schoolwires · U8 L7 Surface Area Lesson.notebook 4 (Not...
U8 L7 Surface Area Lesson.notebook
1
3 in
3 in
8 in6π
Find the composite area of the figure.
DO NOW!
U8 L7 Surface Area
Surface Area FormulasIn general, the surface area is the sum of all the areas of all the shapes that cover the surface of the object.
U8 L7 Surface Area Lesson.notebook
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Prisms
Cone PyramidCylinder
3D Shapes
We won't find the surface area of a cone.
maybe do a few of these...
a) How many vertices are there in the polyhedron to the right? List them.
b) How may edges are there? List them.
c) How may faces are there? List them.
Surface Area of Cylinders & Prisms
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A net refers to 3D geometric figures. It's the 2D pattern that creates the figure. ex) Take apart a box so that it's flat.
Surface Area of Cylinders & Prisms
Definitions: A prism a polyhedron with exactly 2 , parallel faces, called bases. Other faces are called lateral faces.
A prism is named by the shape of its bases. Name the prisms below.
An altitude of a prism is a perpendicular segment that joins the planes of the bases. The height is the length of the altitude.
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(Not aligned properly)
To find the surface area of a prism, find the area of the 2 bases AND the area of the lateral faces. Add these values together.
The Lateral Area is found by adding the areas of each of the lateral faces.
We will only visit lateral area vs. surface area briefly...
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Which is the lateral area?
You may want to use a net.
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Find the Surface Area for the following triangular prism
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Find the surface area.
Surface Area and Lateral Area of Cylinders
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Link for "unrolling"
LA = 2πr h
To find the area of the curved surface of a cylinder, imagine "unrolling"it.
The area of the resulting rectangle is the lateral area of the cylinder. The surface area of the cylinder is the sum of the lateral area and the area of the 2 circular bases.
SA & LA of a Cylinder
SA = LA + Area of bases
SA = 2πrh+(πr2) x 2
The radius of the base of cylinder is 4 in. & its height is 6 in. Find the surface area of the cylinder in terms of π.
Find the surface area of a cylinder with height 10cm and radius 10 cm in terms of π.
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Which has a greater surface area:
A cylinder with a radius of 4 and a height of 5
or
A cylinder with a radius of 5 and a height of 4?
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LA ≈ 46 ft2
Homework
U6 L7 Surface Area
Online
