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Q: Lateral area of pyramid ( Answered 5 out of 5 stars,   0 Comments )
Subject: Lateral area of pyramid
Category: Science > Math
Asked by: torrey2-ga
List Price: $2.00
Posted: 20 Jul 2004 17:26 PDT
Expires: 19 Aug 2004 17:26 PDT
Question ID: 376900
A pyramid has a slant height of 6 meters. If its base is a regular
octagon with sides that measure 4 meters, find the lateral area of the
Subject: Re: Lateral area of pyramid
Answered By: deadlychiapet-ga on 20 Jul 2004 17:55 PDT
Rated:5 out of 5 stars
Hi there,

The first thing you need to do is find the height of one of faces that
make up the pyramid. Each face is a triangle, so to find its height
you need to take the 4m base of the triangle and bisect it giving you
a point 2m from each side. From that point you can draw a line up to
the apex of the pyramid. Once you have this line, you can use the
Pythagorean theorem (a^2+b^2=c^2) to find the height of the triangle.


Now that you have the height of one of the faces you can use the
formula for the area of a triangle (base*height)/2 to find the area of
one of the faces of the pyramid. Multiply the area of the face by 8
and you will get the lateral area of the pyramid.


I hope this answers your question! If you have any questions or are
unclear about anything please feel free to ask for clarification.

torrey2-ga rated this answer:5 out of 5 stars

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