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{{ printedBook.courseTrack.name }} {{ printedBook.name }} When calculating the ratio between a measurement of two given objects, the lengths of their corresponding sides can be used. To calculate the length scale factor, the length $a$ of a side in the first figure is divided by the length $b$ of the corresponding side in the second figure. This ratio can then be squared to obtain the area scale factor or cubed to find the volume scale factor.

Type of Measurement | Ratio | Example |
---|---|---|

Length | $ba $ | $21 $ |

Area | $(ba )_{2}=b_{2}a_{2} $ | $2_{2}1_{2} =41 $ |

Volume | $(ba )_{3}=b_{3}a_{3} $ | $2_{3}1_{3} =81 $ |