Question

Find the height of a square pyramid that has a volume of 12 cubic feet and a base length of 3 feet. 1.5 feet 2 feet 3 feet 4 feet

Answer 1

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

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