What is the lateral area of a pyramid-shaped building that has a slant height of 210 feet and a square base 332 feet by 332 feet?

1 Answer
Qinglong Diep
Jul 3, 2018

This is most likely a right square pyramid as it has a pyramid-shaped building and has a square base.

The formula for a right square pyramid of lateral surface area is #LA=2sl#

LA = Lateral Area
#s# = area of square
#l# = slant height

So to figure out the area of the square, we can square 332 like this #332^2# or we can multiply it twice like this #332*332# but they still give us the same answer which is #110,224#

So we now know the area of the square. Let plug all the known information into the formula.

#LA=2(110,224)(210)#
#LA=46294080#

So the lateral area of this figure is 46294080 feet square.

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