Answer to Question #2794 in Geometry for Drew Collier

Question #2794
How do i find the demensions of a regular pyramid if i already have the surface area?
1
Expert's answer
2011-05-16T11:16:59-0400
You need to know at least one side of pyramid and the number n of edges in the base.

Its surface is the sum of the area of base and area of its side faces
S = Sbase + Sside

If you know the length& A of the edge in the base, the you can calculate& Sbase
Sbase = n A^2 /4 ctg(/n)

Then you can get& Sside:
Sside =& S - Sbase
&
Further, let Sface the area ofone sice face.
Then
Sside = n * Sface

Every side face is a isosceles triangle with base A.
Then from its area Sface abd the length A of the base you can calculate all its edges.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS