Question

Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.

Answer 1

Explanation:

wrong

Answer 2

84 squared units.

Explanation:

In order to find the surface area of the pyramid, you use the following formula:

`S=b^2+(1)/(2)ps` (1)

b: base of the pyramid = 6

p: perimeter of the base = 6*4 = 24

s: slant height

Then, you first calculate the slant height, by using the Pythagoras' theorem:

`s=\sqrt{(5)^2-((6)/(2))^2}=4`

Thus, you replace the values of b, p and s in the equation (1):

`S=(6)^2+(1)/(2)(24)(4)=84`

The surface area of the pyramid is 84 squared units.