Question

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

Answer 1

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`