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Published byElfreda Harmon Modified over 8 years ago
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12.7 Similar
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Today we will… Return to the idea Of similar objects
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Similar means same shape different size
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Remember proportions 5 4 3 8 10 6 3 4 5 6 8 10 ==
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Now we do that with 3 dimensional objects 12 18 12 8 Can be Height, radius Volume Surface area Lateral area width...
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Scale factor The first object The Second object You will do this with sides, areas, volumes Then compare how the rates change
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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
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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
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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
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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
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Let’s think If I double the radius … r What happens to the surface area? What happens to the Volume?
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Chapter 12.7 3-5, 7-16 Chapter Review 1-28
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