Question

Find the surface area of the regular pyramid shown to the nearest whole number.
A.862 m^2
B. 540 m^2
C. 1,125 m^2
D. 647 m^2

Answer 1

find the area of the base and the area of the triangles and add them up

Answer 2

How do I do that? Base times height, right?

Answer 3

nope since it a hexagon you use the formula
(1/2)(perimeter)(apothem) for area

Answer 4

Okay, I'm confused.

Answer 5

it is the formula for the area for all regular polygons

Answer 6

do you know what the apothem is?

Answer 7

That's what confused me.

Answer 8

\(\textit{area of a regular polygon}=\cfrac{1}{2}rns\\\quad \\
\begin{cases}
r=\textit{apothem, or distance from a side to the center}\\
n=\textit{number of sides}\\
s=\textit{length of each side}
\end{cases}\)

Answer 9

Thanks. :)

Answer 10

then as acxbox22 said
find the triangles area, all 6 of them

sum them all up, hexagonal base and triangles

Answer 11

So the answer is 540 m^2?

Answer 12

@jdoe0001