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a pyramid has a square base with side s. The height of the pyramid is 2/3 that of it's side. What is the expression for the volume of the pyramid?

a pyramid has a square base with side s. The height of the pyramid is 2/3 that of-example-1
User Kmm
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\bf \textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}\qquad \begin{cases} B=\textit{area of its base}\\ h=height\\ ----------\\ B=\stackrel{square~pyramid}{length\cdot width}\\ \qquad s\cdot s\\ \qquad s^2\\ h=(2)/(3)s \end{cases}\implies V=\cfrac{s^2\cdot (2s)/(3)}{3} \\\\\\ V=\cfrac{(2s^3)/(3)}{3}\implies V=\cfrac{(2s^3)/(3)}{(3)/(1)}\implies V=\cfrac{2s^3}{3}\cdot \cfrac{1}{3}\implies V=\cfrac{2s^3}{9}
User Touheed Khan
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