Question 529159

A Square Pyramid is a pyramid with a square base.

Square Pyramid Formula :
Area of Base {{{A = s^2}}}
{{{Surface_ Area_ of _Pyramid = s^2 + 2sl = A + 2sl}}}

where
{{{s= side}}} and {{{l = slant_ height}}}

given:

{{{A = 36in^2}}}

{{{Surface_ Area_ of _Pyramid = 132in^2}}}

let's find {{{s= side}}}

{{{s^2 = 36in^2}}}

{{{s = sqrt(36in^2)}}}

{{{s = 6in}}}


{{{ 132in^2= s^2 + 2sl = A + 2sl}}}


{{{ 132in^2 = 36in^2+ 2sl}}}

{{{ 132in^2 - 36in^2= 2*6in*l}}}

{{{ 96in^2= 12in*l}}}

{{{ 96in^2/12in=l}}}

{{{ 96in^cross(2)/12cross(in)=l}}}

{{{ 96in/12=l}}}

{{{ 8in=l}}}.........the height of each side of the pyramid