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The answer to this question depends on what sort of pyramid it is, and that depends on the shape of the base. You can get triangular pyramids (with a triangular base), square pyramids (like those in Egypt), pentagonal pyramids and so on.

Let me take just one -- the square pyramid. Let the length of the base sides be 'a' units. Let 'h' units be the perpendicular height (i.e. at right angles to the base and going through the peak of the pyramid) of each side.

I gather by lateral area that you mean surface area including the base.

I use the symbol * to mean x or multiply.

Then the formula for working out the surface area is a*a for the base PLUS each triangular face is 1/2*a*h

There are 4 triangular sides so the surface area is

(a*a) + 4*(1/2*a*h)

If you just want the 4 sides, leave out a*a.

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Q: Which part of the regular pyramid formula is for the pyramids lateral area?
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