

Area, Volume, Surface Area and Cross Sections
Presentation
•
Mathematics
•
8th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
25 Slides • 3 Questions
1
Surface Area and Volume (with a little Area)
2021

2
3
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.
4
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.
5
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.
6
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
9
Find the area of the regular polygon.
*Careful* Answers at the end.
10
Find the area of the regular polygon.
Answers at the end.
11
12
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.
13
Surface Area of a Cone
14
Surface Area of a Sphere
15
Volume of a Prism
16
Volume of a Cylinder
17
Volume of a Cone
18
Volume of a Sphere
19
Find the surface area and volume
Answers on last slide.
20
Find the surface area and volume
Answers on last slide
21
Find the surface area and volume
Answers on last slide
22
Find the surface area and volume
Answers on last slide
23
Find the surface area and volume
Answers on last slide
24
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
25
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
27
Open Ended
Any other questions?
28
Volume of a Cone
Surface Area and Volume (with a little Area)
2021

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