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What is the height of the given pyramid if the volume is 48 cubic units? Question 3 options: 4...
4 months ago
Q:
What is the height of the given pyramid if the volume is 48 cubic units? Question 3 options: 4 6 7 5
Accepted Solution
A:
[tex]\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{6\times 6}{36}\\ V=48 \end{cases}\implies 48=\cfrac{1}{3}(36)h\implies 48=12h \\\\\\ \cfrac{48}{12}=h\implies 4=h[/tex]