Question

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

Answer 1

Now, a square pyramid is called that, because its base is a square.

if one side on its base has a length of 3, then all sides are 3 units long, since is a squarish base, and therefore the area of the base is 3x3 or 9 ft².

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