Respuesta :

Answer:

The surface area of the square pyramid is 280 units².

Step-by-step explanation:

As we know that the total surface area of a square pyramid can be obtained by identifying the length 'b' of its base and its slant height 's' by using the formula:

[tex]A=2bs+b^2[/tex]

From the figure, it is clear that

  • length of its base = 'b' = 9
  • slant height = 's' = 10

substituting the values in the formula

[tex]A=2bs+b^2[/tex]

[tex]A=2[/tex] [tex](10)[/tex] [tex](9)+(10)^2[/tex]

   [tex]=2[/tex] [tex](10)[/tex] [tex](9)+100[/tex]

   [tex]=280[/tex]

Therefore, the surface area of the square pyramid is 280 units².