Question

What is the volume of a square pyramid with base edges of 40 cm and a slant height of 25 cm

Answer 1

check the picture below

so, that's the height of the pyramid, or "h"

recall
`\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh\qquad \begin{cases} B=\textit{base area}\\ h=height\\ ------\\ B=40\cdot 40\\ h=√(25^2-20^2) \end{cases}\implies V=\cfrac{1}{3}\cdot 40\cdot 40\cdot √(25^2-20^2)`