Can we make a square pyramid with the lateral surface area equal to the base area?
Consider pyramid as shown in figure given along.

Lateral surface are of pyramid is given by formula

As the base is given to be square, So l=w=x,

And base area = x2
So for base area to be equal to LSA,


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Or, h=0
Thus, it is not possible to have a pyramid with lateral surface area equal to base area.
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