Question

After a snowfall, Sheree built a snow pyramid. The pyramid had a square base with side lengths of 32 inches and a height of 28 inches. What was the volume of the pyramid

Answer 1

a square pyramid has a squarish base, thus is called a square pyramid.

now, this pyramid has sides of 32 on its base, thus its base is really a 32x32 square, whose area is ... well, 32*32.

$\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\ ------\\ B=\stackrel{32\times 32}{1024}\\ h=28 \end{cases}\implies V=\cfrac{1}{3}(1024)(28)$