Question

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

Answer 1

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

Answer 2

The height of the pyramid is 9 feet