182,689 views
16 votes
16 votes
What is the slant height of a square pyramid that has a surface area of 336 square meters and a side length of 12

meters?

User Masuk Helal Anik
by
2.6k points

1 Answer

17 votes
17 votes

Check the picture below.

the surface area of the pyramid is simply the area of the four triangular faces plus the squarish base, and the triangular faces have a base of 12 and an altitude or height of "s", and we know that's 336.


336~~ = ~~\stackrel{\textit{\LARGE Areas}}{\stackrel{square}{(12)(12)}~~ + ~~\stackrel{\textit{four triangles}}{4\left[ \cfrac{1}{2}(\underset{b}{12})(\underset{h}{s}) \right]}}\implies 336~~ = ~~144~~ + ~~24s \\\\\\ 192=24s\implies \cfrac{192}{24}=s\implies 8~m=s

What is the slant height of a square pyramid that has a surface area of 336 square-example-1
User Ranell
by
3.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.