Mathematics, 20.07.2019 01:00 kwhitt
Two pyramids are similar. the volume of the larger pyramid is 125 m³ and the volume of the smaller pyramid is 27 m³. the height of the smaller pyramid is 3 m. what is the height of the larger pyramid?
Answers: 2
![\bf \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}}\\\\ -------------------------------\\\\ \cfrac{small}{large}\qquad \qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{3}{h}=\cfrac{\sqrt[3]{27}}{\sqrt[3]{125}}\implies \cfrac{3}{h}=\cfrac{3}{5}\implies \cfrac{3\cdot 5}{3}=h](/tpl/images/0109/8125/b5c2f.png)
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Two pyramids are similar. the volume of the larger pyramid is 125 m³ and the volume of the smaller p...
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