SOLUTION: Find the surface area ofa square pyramid if the height of the triangles is 4cm and the bottom edge is 2cm. Please show or explain work.
Algebra ->
Surface-area
-> SOLUTION: Find the surface area ofa square pyramid if the height of the triangles is 4cm and the bottom edge is 2cm. Please show or explain work.
Log On
Question 1052122: Find the surface area ofa square pyramid if the height of the triangles is 4cm and the bottom edge is 2cm. Please show or explain work. Answer by ikleyn(52781) (Show Source):
You can put this solution on YOUR website! .
Find the surface area of a square pyramid if the height of the triangles is 4 cm and the bottom edge is 2 cm. Please show or explain work.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1. The triangles you are talking about are called the lateral faces in this case.
2. The height of the triangles is called the "slant height".
3. There are 4 lateral faces that are triangles with the base of 2 cm and the height of 4 cm.
The area of each such a triangle is = 4 .
The area of the four triangles is 4*4 = 16 .
It is the "lateral surface area".
4. We must account for the base area too.
It is 4*4 = 20 .
5. In all, the total surface area of the given pyramid is 16 + 20 = 36 .
