3 years ago

Geometry geometry help

Mathematics

1 answer:

kobusy [5.1K]3 years ago

4 0

I can’t see the picture that good

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What is the height of a square pyramid with a volume of 75 cubic feet and base length of 5 feet

natima [27]

So hmm notice the picture below

is a "square" pyramid, thus, the base is a square, all sides are the same

now, we know the volume is 75 and one side is 5

thus $\bf \textit{volume of a pyramid}\\\\
V=\cfrac{1}{3}\cdot Base\cdot height\qquad 
\begin{cases}
Base=length\cdot width\\
\qquad\qquad 5\cdot 5=25\\
V=75
\end{cases}\\\\\\ 75=\cfrac{1}{3}\cdot 25\cdot h$

solve for "h" or height