Answer: 28 square inches
Step-by-step explanation:
We know that the area of a triangle is given by :-
[tex]\text{A}=\dfrac{1}{2}*b*h[/tex], where b is base and h is the height of the triangle.
From the given picture, it cam be seen that alll the traingles area of same measure, the base of the triangle = 2 inches
The height of the triangle = 6 inches
Now, the area of a triangle is given by :-
[tex]\text{A}_1=\dfrac{1}{2}*6*2=6\ in^2[/tex]
Area of the square in the center =[tex](side)^2=(2)^2=4\ in^2[/tex]
Now, the total surface area of the pyramid is given by :-
[tex]\text{S.A.}=4+4(6)=28\ in^2[/tex]
