Mathematics, 29.06.2019 17:30 Isabella1319
What is the volume of a pyramid with an equilateral triangle for a base and a height equal to the base side length? express your answer in terms of s, the length of a side of the base
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![\bf \begin{array}{llll} \textit{area of an equilateral triangle}\\\\ A=\cfrac{s^2\sqrt{3}}{4}\qquad \begin{cases} s=length~of\\ \qquad a~side \end{cases} \end{array}\qquad \begin{array}{llll} \textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\[-0.5em] \hrulefill\\ B=\cfrac{s^2\sqrt{3}}{4}\\[1em] h=s \end{cases} \end{array}](/tpl/images/0031/8130/02a52.png)
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