The length of the base of a square pyramid is 9 inches the slant height is 12 inches what is the surface area of the pyramid

Respuesta :

Answer:

The surface area is [tex]297\ in^{2}[/tex]  

Step-by-step explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

so

[tex]SA=b^{2}+4[\frac{1}{2}(b)(l)][/tex]

where

[tex]b=9\ in[/tex]

[tex]l=12\ in[/tex] -----> the slant height

substitute the values

[tex]SA=9^{2}+4[\frac{1}{2}(9)(12)][/tex]

[tex]SA=297\ in^{2}[/tex]