Consider a regular square pyramid
Let a= the base edge, h= the altitude, and s= the slant height.
The lateral area AL of a regular square pyramid is
AL=21(4a)s
The slant height makes an angle α=45° with the base.
From the right triangle
sinα=sh,tanα=a/2h
s=sinαh=sin45°8=82(m)
a=tanα2h=tan45°2(8)=16(m)
AL=2as=2(16)(82)=2562(m2)
AL=2562m2
Comments