Question 1155824
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It's a basic principle for similar figures, no matter how simple or complex they are.  It can be two squares (which are all similar to each other), or it can be an entire city and a scale model of that city.<br>
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If two similar figures have a scale factor (ratio of corresponding linear measurements) of a:b, then
(1) the ratio of corresponding area measurements is a^2:b^2; and
(2) the ratio of corresponding volume measurements is a^3:b^3
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Radii and slant heights are both linear measurements; the ratio of the two slant heights is the same as the ratio of the radii.<br>