The net of a square pyramid is shown below: What is the surface area of the solid? 10 square inches 16 square inches 24 square inches 28 square inches

Question

asked Oct 5, 2019 34.7k views

1 Answer

ThePianist · Answer 1 · 2019-10-11T23:56:23+0000

Answer: 28 square inches

Explanation:

We know that the area of a triangle is given by :-

$\text{A}=(1)/(2)*b*h$ , 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 :-

$\text{A}_1=(1)/(2)*6*2=6\ in^2$

Area of the square in the center =
$(side)^2=(2)^2=4\ in^2$

Now, the total surface area of the pyramid is given by :-

$\text{S.A.}=4+4(6)=28\ in^2$