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12.7 Similar. Today we will… Return to the idea Of similar objects.

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Presentation on theme: "12.7 Similar. Today we will… Return to the idea Of similar objects."— Presentation transcript:

1 12.7 Similar

2 Today we will… Return to the idea Of similar objects

3 Similar means same shape different size

4 Remember proportions 5 4 3 8 10 6 3 4 5 6 8 10 ==

5 Now we do that with 3 dimensional objects 12 18 12 8 Can be Height, radius Volume Surface area Lateral area width...

6 Scale factor The first object The Second object You will do this with sides, areas, volumes Then compare how the rates change

7 The scale factor for width of the prism on the left compared to the prism on the right is… 3 mm 2 mm 2 3

8 Now we can find the Scale for the surface area of the prism on the left compared to the one on the right. 3 mm 2 mm 2 3 Surface area is squared So the scale factor for surface are is the square of the width. 2 2 4 9

9 So what will we do to find the scale factor of the volumes? 3 mm 2 mm 2 3 Volume is cubed So the scale factor for volume is the cube of the width. 3 3 8 27

10 Given a scale factor for length, find the scale factors for Surface area and volume 4 3 16 9 64 27 Area Volume 3 2

11 Let’s think If I double the radius … r What happens to the surface area? What happens to the Volume?

12 Chapter 12.7 3-5, 7-16 Chapter Review 1-28


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