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

Step-by-step explanation:

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

$\text{A}=\dfrac{1}{2}*b*h$, 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 :-

$\text{A}_1=\dfrac{1}{2}*6*2=6\ in^2$

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 :-

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