Answer:
The answer is the option A
[tex]240\ in^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of the figure is equal to the surface area of the cube (only [tex]5[/tex] faces) plus the surface area of the pyramid (without the area of the base)
so
Find the surface area of this cube
[tex]SA=5*6^{2} =180\ in^{2}[/tex]
Find the surface area of this pyramid
The surface area is equal to the area of [tex]4[/tex] triangles
so
[tex]SA=\frac{1}{2}(6*4)*5=60\ in^{2}[/tex]
Adds the surface's area
[tex]180\ in^{2}+60\ in^{2}=240\ in^{2}[/tex]
