Question

A wooden building has the shape of a rectangular pyramid. The buildings base is 100 meters long and 50 meters wide. The height of each triangular face is 40 meters. How much wood was used to make the entire building?

Answer 1

Check the picture below.

so let's simply get the area of each of the triangular faces and the base and sum them all up.

`\stackrel{\textit{\Large Areas}}{\stackrel{\textit{front and back}}{2\left[ \cfrac{1}{2}(100)(40) \right]}~~ + ~~\stackrel{\textit{left and right}}{2\left[ \cfrac{1}{2}(50)(40) \right]}~~ + ~~\stackrel{base}{(100\cdot 50)}} \\\\\\ 4000~~ + ~~2000~~ + ~~5000\implies 11000~m^2`