Question

Find the surface area of a square pyramid with side length 5 cm and slant height 5 cm.

Answer 1

Check the picture below.

so the four triangular faces of the pyramid each one has a base of 5 and a height of 5, and the squarish base is a 5x5, so let's just add those areas up.

`\stackrel{\textit{\LARGE Areas}}{\stackrel{\textit{four triangles}}{4\left[\cfrac{1}{2}(\underset{b}{5})(\underset{h}{5}) \right]}~~ + ~~\stackrel{square}{(5)(5)}}\implies 50+25\implies \text{\LARGE 75}~cm^2`