Question

Help with surface area! (Look at the image below)

Answer 1

C. 5/16 yd^2

Explanation:

We know that surface area is simply the sum of the area of every shape on a three-dimensional object.

Thus, we can find the surface area of the square pyramid by finding the sum of the area of the square and the area of the four triangles.

The formula for area (A) of a square is,

`A=s^2`, where s is the side of the square.

In the square, the side is 1/4 yd, so we can find its area:

`A=(1/4)^2\\A=1/16`

The formula for area of a triangle is,

`A=1/2bh`, where b is the base and h is the height.

We're given that the base of every triangle is 1/4 yd and the height of each triangle is 1/2 height.

Thus, we can find the area of all four triangles by finding the area of one triangle and multiply it by 4:

`4A=4(1/2*1/4*1/2)\\4A=4(1/16)\\4A=1/4`

Now, the sum of the area of the square and four triangles will give us the surface area of the square pyramid:

`SA=1/16+1/4\\SA=5/16`