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Surface Area and Volume (with a little Area)
Presentation
•
Mathematics
•
8th - 12th Grade
•
Practice Problem
•
Easy
Standards-aligned
Larissa Lasseter
Used 3+ times
FREE Resource
25 Slides • 3 Questions
1
Surface Area and Volume (with a little Area)
2021

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Nets
A geometry net is a 2-dimensional shape that can be folded to form a 3-dimensional shape or a solid. Or a net is a pattern made when the surface of a three-dimensional figure is laid out flat showing each face of the figure. A solid may have different nets.
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Cross Section
A cross section is a figure you get when cutting a solid. For example, depending on how you cut the cone to the right, you can get a circle, ellipse, parabola, or hyperbola.
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Area of a Rhombus or a Kite
There are actually three formulas you can use for finding the area of a rhombus, but this is the one we will use the most often. We also use this formula for finding the area of kites.
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Find the area of the rhombus.
Answers at the end.
7
Find the area of the kite.
Answers at the end.
8
Area of a regular polygon
n = number of sides
b = base of triangle (side length)
h = height of triangle
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Find the area of the regular polygon.
*Careful* Answers at the end.
10
Find the area of the regular polygon.
Answers at the end.
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Surface Area and Volume
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.
Volume is the amount of space occupied by a three-dimensional figure as measured in cubic units (as inches, quarts, or centimeters) : cubic capacity. We usually describe this as how much something can hold inside.
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Surface Area of a Cone
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Surface Area of a Sphere
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Volume of a Prism
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Volume of a Cylinder
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Volume of a Cone
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Volume of a Sphere
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Find the surface area and volume
Answers on last slide.
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Find the surface area and volume
Answers on last slide
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Find the surface area and volume
Answers on last slide
22
Find the surface area and volume
Answers on last slide
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Find the surface area and volume
Answers on last slide
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Answers to Examples
1. A = 70
2. A = 72
3. A = 289.24
4. A = 20.87
5. SA = 220, V = 200
6. SA = 1156.11, V = 3015.93
7. SA = 296.25, V = 280
8. SA = 174.03, V = 150.8
9. SA = 5541.77, V = 38792.39
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Open Ended
How many examples did you get correct?
26
Poll
Which questions do you want me to go over?
(select all that apply)
Area of Kite/Rhombus/Regular Polygons
Surface Area and Volume of Prisms
Surface Area and Volume of Cylinders
Surface Area and Volume of Cones
Surface Area and Volume of Spheres
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Open Ended
Any other questions?
28
Volume of a Cone
Surface Area and Volume (with a little Area)
2021

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