Question

5. A square pyramid has a slant height of 5 meters. The perimeter of the base is 32 meters. Find the surface area of the pyramid.

Answer 1

Check the picture below.

so the pyramid is really just 4 triangular faces with a base of 8 and a height of 5 and an 8x8 square at the bottom.

`\stackrel{\textit{\large Areas}}{\stackrel{base}{(8\cdot 8)}~~ +~~\stackrel{4~triangles}{4\left[\cfrac{1}{2}(8)(5) \right]}}\implies64+20\implies 84`