contestada

What is the ratio for the volumes of two similar pyramids, given that the ratio of their edge lengths is 6:5
A)125:216
B)216:125
C)36:25
D)25:36

Respuesta :

[tex]\bf \qquad \qquad \textit{ratio relations} \\\\ \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ &-----&-----&-----\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}\\\\ -------------------------------\\\\ \textit{their sides are }6:5\qquad \cfrac{6}{5}\qquad\textit{then their volumes are }\cfrac{6^3}{5^3}\implies \cfrac{216}{125}[/tex]

Answer:

216:125

Step-by-step explanation: