Please write down two linear equations

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narwhalebearp5871i

11.12.2021

Mathematics

So the pyramid looks like the one in the picture below.

notice, the bottom of the pyramid is a square, thus is called that, and each side is 3 units long, thus

$\bf \textit{volume of a pyramid}\\\\
V=\cfrac{1}{3}Bh~~
\begin{cases}
B=area~of\\
\qquad its~base\\
h=height\\
----------\\
V=12\\
B=\stackrel{3\times 3}{9}
\end{cases}\implies 12=\cfrac{(9)h}{3}\implies 12=3h
\\\\\\
\cfrac{12}{3}=h\implies 4=h$

Find the height of a square pyramid that has a volume of 12 cubic feet and a base length of 3 feet.

Find the height of a square pyramid that has a volume of 12 cubic feet and a base length of 3 feet.

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