Mathematics, 27.01.2020 15:31 jackkie10
The height of one square pyramid is 24 m. a similar pyramid has a height of 8 m. the volume of the larger pyramid is 648 m3. determine each of the following, showing all your work and reasoning:
(a) scale factor of the smaller pyramid to the larger pyramid in simplest form
i think this first question is 1/3
(b)ratio of the areas of the bases of the smaller pyramid to the larger pyramid
(c)ratio of the volume of the smaller pyramid to the larger pyramid
(d)volume of the smaller pyramid
Answers: 3
![\bf \qquad \qquad \textit{ratio relations} \\\\ \begin{array}{ccccllll} &Sides&Area&Volume\\ &-----&-----&-----\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array} \\\\ -----------------------------\\\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -----------------------------\\\\ ](/tpl/images/0472/5167/0b61c.png)
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The height of one square pyramid is 24 m. a similar pyramid has a height of 8 m. the volume of the l...
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