**measurements in comparable Figures**

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Once we know that two figures are similar, we likewise know extr information about specific measurements entailing these figures.

You are watching: The ratio of the volumes of two similar solid

If two polygons space |

*Example: *If the corresponding sides of two similar triangles space in the proportion 2:5, what is the ratio of their perimeters? *Answer: *2:5

If two polygons space In comparable figures, if the ratio of two corresponding sides (or other lengths) is expressed as ,then the proportion of the areas can be expressed as . |

*Example: *If the matching sides that two comparable triangles are in the ratio 3:7, what is the ratio of their areas? *Answer: *9:49

If two solids space In similar figures, if the ratio of two matching sides (or various other lengths) is expressed together ,then the ratio of the volumes can be to express as . |

*Example: *If the political parties of two cubes room in the proportion 2:3, what is the ratio of their volumes? *Answer: *8:27

Topical outline | Geometry overview | snucongo.org | MathBits" Teacher sources Terms the Use** call Person:** Donna Roberts