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## Theorems

# Similar Solids: Solids that have the same shape but not the same size.

*If the scale factor of two similar solids is a:b , then (1) the ratio of corresponding perimeters is a:b (2) the ratio of the base areas, and of the total areas is a ^{2}:b^{2 }(3) the ratio of the volumes is a^{3}:b^{3}*

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The scale factor is 5:10

a. Ratio of base perimeters = 5:10

b. Ratio of lateral areas = 5^{2}:10^{2}

C. Ratio of the volumes = 5^{3}:10^{3}

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