SOLUTION: A square pyramid has a surface area of 132 square inches. The base of the pyramid has an area of 36 square inches. What is the height of each side of the pyramid?

Algebra ->  Surface-area -> SOLUTION: A square pyramid has a surface area of 132 square inches. The base of the pyramid has an area of 36 square inches. What is the height of each side of the pyramid?      Log On


   

Question 529159: A square pyramid has a surface area of 132 square inches. The base of the pyramid has an area of 36 square inches. What is the height of each side of the pyramid?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A Square Pyramid is a pyramid with a square base.
Square Pyramid Formula :
Area of Base A+=+s%5E2
Surface_+Area_+of+_Pyramid+=+s%5E2+%2B+2sl+=+A+%2B+2sl
where
s=+side and l+=+slant_+height
given:
A+=+36in%5E2
Surface_+Area_+of+_Pyramid+=+132in%5E2
let's find s=+side
s%5E2+=+36in%5E2
s+=+sqrt%2836in%5E2%29
s+=+6in

+132in%5E2=+s%5E2+%2B+2sl+=+A+%2B+2sl

+132in%5E2+=+36in%5E2%2B+2sl
+132in%5E2+-+36in%5E2=+2%2A6in%2Al
+96in%5E2=+12in%2Al
+96in%5E2%2F12in=l
+96in%5Ecross%282%29%2F12cross%28in%29=l
+96in%2F12=l
+8in=l.........the height of each side of the pyramid