Respuesta :

Answer:

384 cm²

Step-by-step explanation:

Since it is a square pyramid, the total surface area of the pyramid is the area of its square base plus the area of its 4 triangular faces.

[tex]\boxed{area \: of \: triangle = \frac{1}{2} \times base \times height }[/tex]

Area of a triangular face

= ½ ×12 ×10

= 60 cm²

[tex]\boxed{area \: of \: square = side \times side}[/tex]

Base area of pyramid

= 12 ×12

= 144 cm²

∴ Surface area of pyramid

= 4(60) +144

= 240 +144

= 384 cm²