Three Dimensional Figures. TeacherTwins 2015
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1 Three Dimensional Figures TeacherTwins 2015
2 Warm Up What is a 2 dimensional figure? What is a three dimensional figure? Draw a picture of each.
3 Using the nets provided, make the following three dimensional shapes: -Cube -Rectangular Prism -Triangular Prism -Triangular Pyramid -Square Pyramid -Pentagonal Pyramid
4
5 What characteristics do all of the prisms have? What characteristics do all of the pyramids have?
6 Closure How are pyramids and prisms alike? Different?
7 Finding Surface Area of Rectangular Prisms Using Nets TeacherTwins 2015
8 Warm Ups
9 Surface Area Surface Area is the area of all surfaces that make up a three dimensional figure. The 3-D figure below is a rectangular prism. To find its surface area we can unfold it and look at the net. The net contains 6 rectangles. We can find the area of all 6 rectangles and add them together to get the surface area of the prism.
10 Example 1: Find the surface area of the figure below. Find the area of all 6 rectangles and add them together.
11 Example 2: Find the surface area of the figure below. Find the area of all 6 rectangles and add them together.
12 Example 3: Find the surface area of the figure below. Find the area of all 6 rectangles and add them together.
13 Practice Find the surface area of each figure by using a net. 1). 3). 2). 4).
14 Closure Why is it helpful to use a net to help you find surface area?
15 Finding Surface Area of Triangular Prisms Using Nets TeacherTwins 2015
16 Warm Up Find the surface area of each figure. Draw the nets to show your work.
17 Surface Area Surface Area is the area of all surfaces that make up a three dimensional figure. The 3-D figure below is a triangular prism. To find its surface area we can unfold it and look at the net. The net contains 3 rectangles and 2 triangles. We can find the area of all 5 shapes and add them together to get the surface area of the prism.
18 Example 1: Find the surface area of the figure using a net. Find the area of all 5 sides and add them together.
19 Example 2: Find the surface area of the figure using a net. Find the area of all 5 sides and add them together.
20 Practice Find the surface area of each figure. Draw the nets to show your work.
21 Closure How are rectangular prisms and triangular prisms alike? Different?
22 Finding Surface Area of Pyramids Using Nets TeacherTwins 2015
23 Warm Up Practice Find the surface area of each figure. Draw the nets to show your work.
24 Surface Area Surface Area is the area of all surfaces that make up a three dimensional figure. The 3-D figure below is a square pyramid. To find its surface area we can unfold it and look at the net. The net contains 1 square and 4 triangles. We can find the area of all 6 rectangles and add them together to get the surface area of the pyramid.
25 Example 1: Find the surface area of the figure below. Find the area of all 5 sides and add them together.
26 Example 2: Find the surface area of the figure below. Find the area of all 5 sides and add them together.
27 Practice Find the surface area of each figure. Draw the nets to show your work.
28 Closure How are pyramids like prisms? Different?
29 Finding Volume of Rectangular Prisms TeacherTwins 2015
30 Warm Up Find the surface area of each figure. Draw the nets to show your work.
31 Volume of Rectangular Prisms Volume-How much space an object has. How much an object can hold. Volume is a measure of how many cubic units make up a 3-D figure. Volume is measured in cubic units.
32 Volume of Rectangular Prisms To find volume you multiply the length times the width times the height. V=lwh
33 Volume of Rectangular Prisms Another way to find the volume of a rectangular prism is to find the area of the base and multiply it by the height of the prism. V=Bh B=area of the base h=height of prism
34 Example 1: Find the volume of the rectangular prism.
35
36 Example 3: Find the volume of the rectangular prism.
37 Practice Find the volume of each figure.
38 Closure
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