Calculate the volume of the regular triangular pyramid

Ответ:

rhussein6452

13.01.2022

So, the prism looks more or less like the picture below

now, notice the purple base, is a triangle with all sides of 9

$\bf \textit{area of an equalateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad 
\begin{cases}
s=\textit{length of one side}\\
----------\\
s=9
\end{cases}\implies A=\cfrac{9^2\sqrt{3}}{4} \\\\
-----------------------------\\\\
\textit{volume of a pyramid}\\\\
V=\cfrac{1}{3}Bh\qquad 
\begin{cases}
B=\textit{area of the base}\\
h=height\\
----------\\
B=\frac{81\sqrt{3}}{4}\\
h=8
\end{cases}\implies V=\cfrac{1}{3}\cdot \cfrac{81\sqrt{3}}{4}\cdot 8$

Calculate the volume of the regular triangular pyramid with the base edges of length 9 inches and a

Calculate the volume of the regular triangular pyramid with the base edges of length 9 inches and a

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Ответ:

mhortin

05.01.2021

Mathematics

Step-by-step explanation: it cannot be 2, 6, or 5 because they are all less than 7.

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Calculate the volume of the regular triangular pyramid with the base edges of length 9 inches and a height of length 8 inches.

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